Sin Cos Tan Reference Sheet Page 7

Solve the problem.

24) If friction is ignored, the time t (in seconds) required for a block to slide down an inclined plane is given by the

formula

t =

g sinq cosq

where a is the length (in feet) of the base and g Ô 32 feet per second per second is the acceleration of gravity.

How long does it take a block to slide down an inclined plane with base a = 8 when q = 45e? Round the final

answer to the nearest tenth of a second.

25) The displacement d, in inches, from equilibrium of a weight suspended from a spring is given by

d = 1 + 2 sin(15t)e

where t in time in seconds. Find the displacement when t = 0, 2, 4, 6, 8, 10, and 12 seconds. Do not use a

calculator.

26) Find the exact value of tan

+ tan

. Do not use a calculator.

27) Which of the following trigonometric values are negative?

sin(-292e)

II.

tan(-193e)

III. cos(-207e)

IV. cot 222e

A) II, III, and IV

B) III only

C) I and III

D) II and III

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