F.TF.B.7: Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.

Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.

Example Problems

A piston's vertical position (in cm) is

y(t)=4[-\sin((2\pi/0.04)t)] + 5

, where t is seconds.
What is the position at

t = 0.01

s?

The following are all angle measures, in degrees, whose cosine is

-1

.
Which is the principal value of

\arccos(-1)

?

The following are all angle measures, in degrees, whose tangent is

1

.
Which is the principal value of

\tan^{-1}(1)

?

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