# Questions on Trigonometric Functions

This page contains sample problems on trigonometric functions. They are for Self-assessment and Review.

Each problem (or group of problems) has an "answer button" which you can click to look at an answer. Some solutions have a "further explanation button" which you can click to see a more complete, detailed solution.

### What to Do

To gain the most benefit from these problems,

Use a graphing calculator as appropriate.

If you have difficulties with this material, please contact your instructor. (See Getting Help in Stage 1.) It will be very difficult to succeed in Calculus without understanding trigonometry.

1. 1 + tan2(x) = sec2(x)
2. 1 + cot2(x) = csc2(x)

1. cot (x)
2. sec (x)
3. csc (x)

1. g(x) = 3cos 2x
2. f(x) = -2.7sin 2(x - /4)
3. g(x) = sin ((1/2)(x + /3)
4. h(x) = 1.5cos (x - 1)

D(t) = D0 + Acos B(t - t0)
where t is measured in hours from midnight on June 1, 1996.

1. What does D0 mean in the context of the problem?
2. What is the value of A?
3. What is the value of B?
4. Give the physical meaning of t0 for this problem.

(Adapted by Judy de Szoeke from CALCULUS, (The Harvard Consortium Text), Hughes-Hallett, Gleason, et al.))

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