The sinusoidal movement of a bicycle pedal can be described by the equation

h = 14.5 cos [(2/5)t] + 30

where the pedal starts at t = 0 s at the topmost position and h inches is the height of the pedal above the ground.

How long does it take for the pedal to reach a height of 34.48 inches for the second time?

a. 6 seconds

b. 4 seconds

c. 3 seconds

d. 5 seconds

Which of the following is not an identity?

I. sec^2 x + csc^2 x = sec^2 x csc^2 x

II. sec^2 x - csc^2 x = ((sec^2)x/(csc^2)x)

III. cos^2 x = sin^2 x(csc x - sin x)

a. III

b. II

c. I

d. I and III

Which of the following expressions is equivalent to (cos x + tan x/sin x)?

a. tan x + sec x

b. sin x + tan x

c. cot x + sec x

d. cos x + cot x