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EXAM 1 PRACTICE
1. Given that the point P = (− 25 ,
√
21
)
5
is on the unit circle what are the exact values of all six
trigonometric functions?
2. Find the exact value of the following
)
a. sin( 11π
2
b. sin(−300◦ )
c. cos( 10π
)
3
d. cos(405◦ )
The following illustration is the labeling we used for the following two questions
3. Solve the right triangle if a = 6, b = 4.
4. Solve the right triangle if B = 25◦ , c = 13.
5. Find the exact value of each of the remaining trigonometric functions of θ given that
cos θ =
3
5
and
3π
2
< θ < 2π.
6. Find the exact value of each of the remaining trigonometric functions of θ given that
tan θ = − 31 and sin θ > 0.
7. For the function f (x) = − 43 cos(3x − π4 ) + 1
a. What is the amplitude?
b. What is the period?
c. What is the phase shift?
d. What is the maximum value f (x) can take?
e. What is the minimum value f (x) can take?
1
2
EXAM 1 PRACTICE
8. For the graph below, write two equations for the graph, one using the function sine and the
other using the function cosine.
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