Question

P is a point on the terminal side of θ in standard position. Find the exact value of the six trigonometric functions for θ. P(-8, -8)

Ans:

cotangent: 1
secant: negative square root 2
cosecant: negative square root 2
sin: square root 2 / 2
cosine: square root 2 / 2
tan: 1

Answer 1

cotangent: 1
secant: negative square root 2
cosecant: negative square root 2
*sin: square root 2 / 2
*cosine: square root 2 / 2
tan: 1

The terminal side lands in the third quadrant, where only tangent (and cotangent) is positive. So sine (cosec) and cosine (sec) are all negative.

Use this as a guide:

S|A
---
T|C

Starting from Q1, we can use
"All Students Take Calculus" to help memorize the positive functions.
(A=all 6 functions)

Answer 2

So I change sin and and cosine to make them negative?

Answer 3

Yes, that is correct, but try to understand why you do that by studying the unit circle.

Answer 4

Thanks! Yes, I will study it.