Math Analysis Ch. 4.1-4.4 Test Study Guide Name ______
Find two coterminal angles, one positive and one negative. (Keep in same units as given!)
1. 323° 2.
Find the missing Arc length (s) or Central Angle given the following information:
3. 4.
Find the point (x, y) on the unit circle that corresponds to the real number t.
5. 6.
Evaluate the trig function using its period as an aid. (Hint: 1st, find a smaller coterminal angle)
7. 8.
Use the value of the trigonometric function to evaluate the indicated functions.
13. 14.
a. a.
b. b.
Find the exact value of all six trig functions of the angle θ. (Find missing side 1st!)
15)
6
θ
8
Based on the given information, find the other five trig functions.
16. 17.
Solve for x. Give the EXACT value—NO DECIMALS!
18. 30 19.
y 18
x
Complete the table
Function / θ in deg / θ in radians / Function value20) / /
21) / / 60°
22) / /
Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trig functions.
23.
a) csc 30° b) cot 60°
c) cot 30°
24.
a) cos θ b) cot θ
c) cot (90° – θ)
Find the indicated trig values based on the given information:
25. Given a point: (-5, -2) Find sine, cosine and tangent. 26. If and , find .
27. You are standing 45 meters from the base of the Empire State building. You estimate the angle of elevation to the top of the 86th floor is 82°. If the height of the building includes 123 meters above the 86th floor, what is the approximate total height of the building? One of your friends is on the 86th floor. What is the distance between you and your friend?