Math 154 Exam #3 Name________________________
Sample Trigonometry chapter 4 and 5 exam.
Prove the following identities:
1. cot sin
cos
xx
x
=−
2
12
2. θ−θ=
θcotcsc
2
tan
3. Find the
exact value of sin 75o.
If 7
1
sin −=A with A in QIII, 5
3
cos −=B with B in QII then find each of the following:
4. cos(A + B)
5. cos 2A
6. 2
sin A
7. Find the
exact value of
(
)
()
sec sin−13
2
Graph one complete period for each graph. Label axes so that the amplitude and period can be
easily read.
8. y =
()
23sin x+
π
9. y = sec (2 x)
10. Find the equation of graph shown here: [ Insert given picture here ]