Tori's Blog #2

A. Sine and Cosine are similar in many ways. To get cosine, all you do is take the opposite of sine. It is proven through the trig chart.
Sin 0 = 0 Cos 0= 1
Sin pi/6 = ½ Cos pi/6=√3/2
Sin pi/4=√2/2 Cos pi/4=√2/2
Sin pi/3=√3/2 Cos pi/3= ½
Sin pi/2=1 Cos pi/2= 0
B. Tangent and Cotangent are also very similar. To get tangent, it is sin/cos, and to get cotangent all you have to do is flip tangent. This is also proven in the trig chart.
Tan 0 = 0 Cot 0 = undefined
Tan pi/6 = √3/3 Cot pi/6 = √3
Tan pi/4 = 1 Cot pi/4 = 1
Tan pi/3 = √3 Cot pi/3 = √3/3
Tan pi/2 = undefined Cot pi/2 = 0
C. Sine and Cosecant are partially different. To get Cosecant, just take the reciprocal of sine.
Sin 0 = 0 Csc 0 = undefined
Sin pi/6 = ½ Csc pi/6 = 2
Sin pi/4=√2/2 Csc pi/4 = √2
Sin pi/3=√3/2 Csc pi/3 = 2√3/3
Sin pi/2=1 Csc pi/2 = 1
D. Secant and Cosine are the same as Sine and Cosecant. In order to get Secant, just take the reciprocal of Cosine.
Cos 0= 1 Sec 0 = 1
Cos pi/6=√3/2 Sec pi/6 = 2√3/2
Cos pi/4=√2/2 Sec pi/4 = √2
Cos pi/3= ½ Sec pi/3 = 2
Cos pi/2= 0 Sec pi/2 = undefined
E. Sine, Cosine and Tangent are all alike because you can get each on of the angles from sine. All you have to remember is that to find cosine, you do the opposite of sine and to do tangent all you do is divide sine by cosine.