Download Precalculus Unit 4 - Trigonometry

Precalculus
Unit 4 - Trigonometry
Name:
Date:
Thursday January 21, 2016
Homework: Worksheet Trigonometric Functions for any Angle & Constraints
#1 – 2: The point given is on the terminal side of an angle θ in standard position.
Determine the exact values of the six trigonometric function of the angle without a calculator.
Simplify and rationalize if appropriate. Sketch the angle in standard position to support your response.
1. (–4, 8)
2. (3, –5)
#3 – 6: State the quadrant in which θ lies.
3.
sin θ < 0 and cosθ < 0
4.
sin θ > 0 and cosθ < 0
5.
sin θ > 0 and tanθ < 0
6.
cos θ > 0 and tanθ < 0
TURN THIS SHEET OVER 
#7 – 9: Without a calculator, find the exact values (if possible) of the remaining trigonometric functions of θ using
the functional value and constraint.
Simplify & rationalize if appropriate. Sketch the angle in standard position to support your response.
7.
15
−
tan θ =
and sin θ < 0
8
8.
cot θ =
−3 and cos θ > 0
9. tan θ undefined and π ≤ θ ≤ 2π
=
#10 – 12: Without a calculator, find the exact values (if possible) of the specified trigonometric functions of θ
using the functional value and constraint.
Simplify & rationalize if appropriate. Sketch the angle in standard position to support your response.
10. Given:
=
cscθ 4 and cot θ < 0
Find cosθ .
11. Given: sin θ = 0 and secθ = −1
Find cotθ .
12. Given:
cos θ
=
Find cscθ .
5
and tanθ < 0
13