Chapter 4 Part 1 Study Guide

Question 1

How do you find the exact value of a trig function?

Answer 1

USE THE UNIT CIRCLE

Question 2

Which trig functions are even?

Answer 2

Cos and sec

Question 3

Which trig functions are odd?

Answer 3

sin, csc, tan, cot

Question 4

What are coterminal angles?

Answer 4

Angles who have the same initial and terminal sides

Question 5

What is an angle in standard position?

Answer 5

Initial side on the x axis where vertex @ (0,0)

Question 6

What are reference angles?

Answer 6

From a given angle, the reference angle is the angle to the closest x axis side.

Question 7

How do 45-45-90 triangles work?

Answer 7

To find a leg, divide the hyp. by √2. To find the hyp., multiply a leg by √2.

Question 8

How do 30-60-90 triangles work?

Answer 8

To find the short leg, divide the hyp. by 2 or divide the long leg by √3. To find the long leg, multiply the short leg by √3. To find the hyp., multiply the short leg by 2.

Question 9

What are the quotient identities?

Answer 9

sinθ/cosθ = tanθ, cosθ/sinθ = cotθ

Question 10

What are the pythagorean identities?

Answer 10

sin^2θ + cos^2θ = 1, 1 + tan^2θ = sec^2θ, and 1 + cot^2θ = csc^2θ

Question 11

What are the (90 - θ) identities?

Answer 11

sin(90 - θ) = cosθ, cos(90 - θ) = sinθ, tan(90 - θ) = cotθ, cot(90 - θ) = tanθ, sec(90 - θ) = cscθ, and csc(90 - θ) = secθ