HEY EVERYONE TAYLOR HERE AND HERE IS MY COMMENT ON THIS WEEK'S QUESTION!!!!
SOHCAHTOA in Ch. 9 and The unit circle in Ch. 7 are connected by the fact that they both need an X and a Y, or the opposite and the adjacent, to be figured out. They both need to use Sin and Cosine to be figured out.
For instance.
Sin 3/5 (first quadrant) You would use this to make a triangle in the unit circle. Since Sin is Y/H we know the hypotenuse and the rise and we need to find X in order for us to find cosine. You would use the Pythagorean theorem and get 4. So Cosine is 4/5.
We needed to use a right triangle in the unit circle to find cosine and we simply used Sin to help us. SOHCAHTOA is used to find the sides of the triangles as well and it also uses Sin and Cosine. A triangle called ABC uses the following information.
In a unit circle, the sine function is merely the length of the opposite side, where we interpret a segment below the x-axis to be negative. In other words, the sine of angle q is the y-value of the point where the angle’s ray intersects the unit circle. in the unit circle the cosine function is merely the length of the adjacent side, where we interpret a segment lying to the left of the y-axis to be negative. In other words, the cosine of angle q is the x-value of the point where the angle’s ray intersects the unit circle. finally, if the angle’s ray intersects the unit circle at a point (x, y), then the tangent function is simply (by SOHCAHTOA) the opposite length over the adjacent length, i.e., y/x. But y/x is also the slope of the line from the origin through that point. Thus the tangent function can be thought of as the slope of the angle’s rays.
This is Nathan with the week 6 blog prompt, trying to make sense out of this.
SOHCAHTOA and the unit circle are connected because they both use the trigonometric functions sine and cosine. That is because cosine is related to the x axis, and sine is related to the y axis. If (x,y) is a point of the unit circle, and if the ray from the origin (0,0)to (x,y) makes an angle t from the positive x axis, then cos(t)=x and sin(t)=y. The unit circle also demonstrates that sine and cosine are periodic functions, with the identities cos t=cos(2πk+t) sin t=sin(2πk+t) for any integer k.
When working with right triangles, sine, cosine, and other trigonometric functions only make sense for an angle measures more than zero and less than π/2.
All six standard trigonometric functions - sine, cosine, tangent, cotangent, secant, and cosecant, can be defined geometrically in terms of a unit circle.
Chapter nine’s SOHCAH TOA (sine opposite hypotenuse, cosine adjacent hypotenuse, and tangent opposite adjacent) is related to chapter seven’s unit circle through triangles. The unit circle problems are solved by drawing a triangle and figuring out the sides using the x incept and the y incept, then you find r using the sine, cosine, tangent, cotangent, secant, and cosecant problems. Whereas in chapter nine with SOHCAHTOA, they use the same basic concept where r is the hypotenuse and is opposite of the right angle and the other legs of the SOHCAHTOA triangle problem, hypotenuse and adjacent, is the same as x and y. So… In the unit circle you would draw the plane then, given an angle of a trigonometry function, draw a circle of the measured angle. You’d draw a triangle and find what the x and y is depending on whether the trigonometry function is sine, cosine, tangent, and so on… If it was SOHCAHTOA, though, you’d have triangle of a right angle drawn and use the trigonometry function to find the x and/or y (adjacent and/or opposite), and the r (hypotenuse).
imma try and compare the two as best as i can. sohcahtoa and the unit circle are both related because they both deal with triangles. they also use trig to find the answers for either the sides which would be the unit circle and the angles which you would use sohcahtoa.
Unit Circle you have to draw and plane and they will give you the angles of a trig function. then you have to draw a triangle to find out what the x and y axis is. you find out what they are by sine, cosine, tangent, cotangent, secent, and cosecent.
SOHCAHTOA in sohcahtoa they will give you two angle and sides. you will have to find the opposite or adjacent leg or the hypotnuse depending on what angle you are looking for.
that is all i know about the unit cirlce and sohcahtoa. hope it helps some of the other people and this was actually hard. i had to think about it for awhile.
SOHCAHTOA in chapter 9 and the unit circle in chapter 7 are related because they both use the trigonomic functions. They also both involve using triangles and both have formulas to use to find angles and sides of a triangle. Both SOHCAHTOA and the unit circle can only be used when you have a right triangle as well.
In the unit circle, you have to draw your triangle on your coordinate plane. Then you would have to find the answers to the trigonomic functions of the triangle using sine, cosine, secant, cosecant, tangent, and cotangent.
SOHCAHTOA is used to find the remaining angles and sides of a right triangle. Each trigonomic function has its own formula to use to find this. Sine: opposite/hypoteneuse. Cosine: adjacent/hypoteneuse. Tangent: opposite/adjacent.
In this blog, i will be comparing the similarities between the unit cirle from chapter 7 and Sohcahtoa which we learned from chaper 9.
ok, first let's define trigonometry - a branch of mathematics that studies triangles and the relationships between their sides and the angles between the sides. which is basically what sohcahtoa and the unit circle are for. they both use sin and cos and the both use x and y and they both are used for solving right triangles.
The unit cirle is used when you are given a point and asked to find certain dimensions of a triangle, you draw the triangle on the coordinate plane and then you use the radius of the cirle which is one. then you use..
SohCahToa soh stands for sin=opp/hyp cah stands for cos=adj/hyp toa stands for tan=opp/adj
you can use these depending on what part of the triangle you are looking for, you can find tan or sin of an angle or you can use the side lengths and use the inverse of any of these functions to find the angle measure.
its kinda cool how everything we have learned so far came together instead of us forgetting how to do it and moving on.
In this blog i will explain how sohcahtoa are related in triginometry. Sohcahtoa in chapter 9 and the unit circle in chapter 7 are related because they both use the trigonomic functions. Both of them have to do with using triangles and you have to plug in formulas to find angles.Sohcahtoa and the unit circle are used to find a right triangle too. Sohcahtoa is used to find angles and sides of a right triangle. In order to do this you have to know the trigonomic functions to find the angles. The funtions are: sine:opp/hyp, cosine:adj/hyp, tangent:opp/adj. The unit cirlcle you have to draw a triangle in the coordinate plane. Then you could find the answers by using the trigonomic funtions of the triangle by using sine, cosine, cosecant, tangent, secant, and cotangent.
Chapter 9 SOHCAH TOA ,sin = opposite over hypotenuse/ cos = adjacent over hypotenuse/ tan = opposite over adjacent, is related to chapter seven’s unit circle through triangles. The unit circle problems are solved by drawing a triangle and figuring out the sides using the x incept and the y incept, then you find r using the sine, cosine, tangent, cotangent, secant, and cosecant problems. Whereas in chapter nine with SOHCAHTOA, they use the same basic concept where r is the hypotenuse and is opposite of the right angle and the other legs of the SOHCAHTOA triangle problem, hypotenuse and adjacent legs
The Unit circle and SOHCAHTOA have a connection because of X and Y values. In the unit circle you have triangles too, well more of on the plane. With SOHCAHTOA you can find the angles/legs in the plane. They are just connected by fate... :D this is dylan BTW
HEY EVERYONE TAYLOR HERE AND HERE IS MY COMMENT ON THIS WEEK'S QUESTION!!!!
ReplyDeleteSOHCAHTOA in Ch. 9 and The unit circle in Ch. 7 are connected by the fact that they both need an X and a Y, or the opposite and the adjacent, to be figured out. They both need to use Sin and Cosine to be figured out.
For instance.
Sin 3/5 (first quadrant) You would use this to make a triangle in the unit circle. Since Sin is Y/H we know the hypotenuse and the rise and we need to find X in order for us to find cosine. You would use the Pythagorean theorem and get 4. So Cosine is 4/5.
We needed to use a right triangle in the unit circle to find cosine and we simply used Sin to help us. SOHCAHTOA is used to find the sides of the triangles as well and it also uses Sin and Cosine.
A triangle called ABC uses the following information.
A=30 degrees a=5
B= 90 degrees b=6
C= 60 degrees c= ?
In order to find b you would use Sin 60 degrees = ?/6. Then you would simply multiply both sides by 6 and get your answer which is 5.196.
As you can see the two are basically connected by the fact that they use right angles and use Sin and Cosine to find the answer.
WELL THAT'S ALL SEEYA TOMMORROW EVERYONE!!
In a unit circle, the sine function is merely the length of the opposite side, where we interpret a segment below the x-axis to be negative. In other words, the sine of angle q is the y-value of the point where the angle’s ray intersects the unit circle. in the unit circle the cosine function is merely the length of the adjacent side, where we interpret a segment lying to the left of the y-axis to be negative. In other words, the cosine of angle q is the x-value of the point where the angle’s ray intersects the unit circle. finally, if the angle’s ray intersects the unit circle at a point (x, y), then the tangent function is simply (by SOHCAHTOA) the opposite length over the adjacent length, i.e., y/x. But y/x is also the slope of the line from the origin through that point. Thus the tangent function can be thought of as the slope of the angle’s rays.
ReplyDelete"SOHCAHTOA Trigonometry." Snow College | It's SNOWing. Web. 06 Oct. 2010. .
This is Nathan with the week 6 blog prompt, trying to make sense out of this.
ReplyDeleteSOHCAHTOA and the unit circle are connected because they both use the trigonometric functions sine and cosine. That is because cosine is related to the x axis, and sine is related to the y axis. If (x,y) is a point of the unit circle, and if the ray from the origin (0,0)to (x,y) makes an angle t from the positive x axis, then cos(t)=x and sin(t)=y. The unit circle also demonstrates that sine and cosine are periodic functions, with the identities
cos t=cos(2πk+t)
sin t=sin(2πk+t) for any integer k.
When working with right triangles, sine, cosine, and other trigonometric functions only make sense for an angle measures more than zero and less than π/2.
All six standard trigonometric functions - sine, cosine, tangent, cotangent, secant, and cosecant, can be defined geometrically in terms of a unit circle.
Cite:
http://en.wikipedia.org/wiki/Unit_circle
Chapter nine’s SOHCAH TOA (sine opposite hypotenuse, cosine adjacent hypotenuse, and tangent opposite adjacent) is related to chapter seven’s unit circle through triangles. The unit circle problems are solved by drawing a triangle and figuring out the sides using the x incept and the y incept, then you find r using the sine, cosine, tangent, cotangent, secant, and cosecant problems. Whereas in chapter nine with SOHCAHTOA, they use the same basic concept where r is the hypotenuse and is opposite of the right angle and the other legs of the SOHCAHTOA triangle problem, hypotenuse and adjacent, is the same as x and y.
ReplyDeleteSo…
In the unit circle you would draw the plane then, given an angle of a trigonometry function, draw a circle of the measured angle. You’d draw a triangle and find what the x and y is depending on whether the trigonometry function is sine, cosine, tangent, and so on… If it was SOHCAHTOA, though, you’d have triangle of a right angle drawn and use the trigonometry function to find the x and/or y (adjacent and/or opposite), and the r (hypotenuse).
imma try and compare the two as best as i can. sohcahtoa and the unit circle are both related because they both deal with triangles. they also use trig to find the answers for either the sides which would be the unit circle and the angles which you would use sohcahtoa.
ReplyDeleteUnit Circle
you have to draw and plane and they will give you the angles of a trig function. then you have to draw a triangle to find out what the x and y axis is. you find out what they are by sine, cosine, tangent, cotangent, secent, and cosecent.
SOHCAHTOA
in sohcahtoa they will give you two angle and sides. you will have to find the opposite or adjacent leg or the hypotnuse depending on what angle you are looking for.
that is all i know about the unit cirlce and sohcahtoa. hope it helps some of the other people and this was actually hard. i had to think about it for awhile.
SOHCAHTOA in chapter 9 and the unit circle in chapter 7 are related because they both use the trigonomic functions. They also both involve using triangles and both have formulas to use to find angles and sides of a triangle. Both SOHCAHTOA and the unit circle can only be used when you have a right triangle as well.
ReplyDeleteIn the unit circle, you have to draw your triangle on your coordinate plane. Then you would have to find the answers to the trigonomic functions of the triangle using sine, cosine, secant, cosecant, tangent, and cotangent.
SOHCAHTOA is used to find the remaining angles and sides of a right triangle. Each trigonomic function has its own formula to use to find this. Sine: opposite/hypoteneuse. Cosine: adjacent/hypoteneuse. Tangent: opposite/adjacent.
In this blog, i will be comparing the similarities between the unit cirle from chapter 7 and Sohcahtoa which we learned from chaper 9.
ReplyDeleteok, first let's define trigonometry
- a branch of mathematics that studies triangles and the relationships between their sides and the angles between the sides. which is basically what sohcahtoa and the unit circle are for. they both use sin and cos and the both use x and y and they both are used for solving right triangles.
The unit cirle
is used when you are given a point and asked to find certain dimensions of a triangle, you draw the triangle on the coordinate plane and then you use the radius of the cirle which is one.
then you use..
SohCahToa
soh stands for sin=opp/hyp
cah stands for cos=adj/hyp
toa stands for tan=opp/adj
you can use these depending on what part of the triangle you are looking for, you can find tan or sin of an angle or you can use the side lengths and use the inverse of any of these functions to find the angle measure.
its kinda cool how everything we have learned so far came together instead of us forgetting how to do it and moving on.
In this blog i will explain how sohcahtoa are related in triginometry. Sohcahtoa in chapter 9 and the unit circle in chapter 7 are related because they both use the trigonomic functions. Both of them have to do with using triangles and you have to plug in formulas to find angles.Sohcahtoa and the unit circle are used to find a right triangle too.
ReplyDeleteSohcahtoa is used to find angles and sides of a right triangle. In order to do this you have to know the trigonomic functions to find the angles. The funtions are: sine:opp/hyp, cosine:adj/hyp, tangent:opp/adj.
The unit cirlcle you have to draw a triangle in the coordinate plane. Then you could find the answers by using the trigonomic funtions of the triangle by using sine, cosine, cosecant, tangent, secant, and cotangent.
Chapter 9 SOHCAH TOA ,sin = opposite over hypotenuse/ cos = adjacent over hypotenuse/ tan = opposite over adjacent, is related to chapter seven’s unit circle through triangles. The unit circle problems are solved by drawing a triangle and figuring out the sides using the x incept and the y incept, then you find r using the sine, cosine, tangent, cotangent, secant, and cosecant problems. Whereas in chapter nine with SOHCAHTOA, they use the same basic concept where r is the hypotenuse and is opposite of the right angle and the other legs of the SOHCAHTOA triangle problem, hypotenuse and adjacent legs
ReplyDeleteThe Unit circle and SOHCAHTOA have a connection because of X and Y values. In the unit circle you have triangles too, well more of on the plane. With SOHCAHTOA you can find the angles/legs in the plane. They are just connected by fate... :D this is dylan BTW
ReplyDelete