Trig Chapter 2

Question 1

Reference Angle

ϴ’

Answer 1

For any non-quadrantal angle in standard position, the positive acute angle that measures from the terminal side of the angle to the X axis

Question 2

Trigonomic function equal to slope

Answer 2

Tangent

Question 3

How to find reference angle in each quadrant

Answer 3

Smallest possible coterminal angle now becomes θ

QI - θ’=θ
Q2 - 180-θ
Q3 - θ-180
Q4 - 360-θ

Question 4

The six trigonomic functions of 30°?

Answer 4

Sin30°=1/2
Cos30°=√3/2
Tan30°=√3/3
Cot30°=√3
Sec30°=2√3/3
Csc30°=2

Question 5

The six trigonomic functions of 60°

Answer 5

Sin60°=√3/2
Cos60°=1/2
Tan60°=√3
Cot60°=√3/3
Sec60°=2
Csc60°=2√3/3

Question 6

Six trigonomic functions of 45°

Answer 6

Sin45°=√2/2
Cos45°=√2/2
Tan45°=1
Cot45°=1
Sec45°=√2
Csc45°=√2

Question 7

How to determine an angle by its function

Answer 7

Use its inverse function
(function to power of -1)