Download Trig Formula Sheet Quiz

Trig Formula Sheet Quiz Practice
Name _____________________________
Answer the following questions. List the identity from the formula sheet that you used. Show all work.
1) Express sin 35 cos 20  sin 20 cos 35 as a single trigonometric function of a positive acute
angle.
Identity: ___________________________________
Solution: ____________________
2) Find the exact value of cos 300 cos 75  sin 300 sin 75 .
Identity: ___________________________________
Solution: _____________________
3) If cos   
2
1
and 90    180 , then find the exact value of cos  .
2
9
Identity: ___________________________________
Solution: _____________________
2
4) If x is a measure of an angle in Quadrant III and cos x   , find tan 2x .
5
Identity: ___________________________________
Solution: _____________________
2
3
and  terminates in quadrant III; sin   and  terminates in
5
7
quadrant II. Express each value below:
5) Given: sin   
a) sin(    ) 
6) Use the identity for the sine, cosine, or tangent of the sum or difference of two angle
measures to find the exact value of the following:
a)
cos 285
7) Solve algebraically for  , to the nearest tenth of a degree, such that 0    360 .
a) 2cos(2x) = 1 – cos(x)