Nicala's Blog

in chapter nine section one





its the right triangle that we did in geometry.











when doing the right triangles you must remember what all the trig functions symbolize on the triangle. the easiest way to remember is to use SOHCAHTOA.





the S stands for sine and the OH- stands for what sine is on the triangle- Opposite over Hypothenuse.





its the same for the rest of it too.





CAH- cosine=adjecent over hypothenuse





TOA-tangent=opposite over adjacent

For the rest of the trig function, cotangent, secant, and cosecant, they are the inverse of other three trig functions i mentioned.

Cotangent is the opposite of tangent= adjacent over opposite

Secant is the opposite of cosine= hypothenuse over adjacent

and Cosecant is the opposite of sine=hypothenuse over adjacent

Hint: the hypothenuse is always the opposite of the ninety

Example

Solve for each part of the triangle.

A=35 and a=4

B=55 and b=?

C=90 and c=5

first need to draw the triangle with this information on it.

the you need to look and see what you need

since you know that this is a right triangle you should the pythagorean theorm which is a(squared)+ b(squared)=c(squared)

4(squared)+b(squared)=5(squared)

16+b=25

b=3