F.TF.A.4: Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

Example Problems

Solve the following equation, where x is in radians to the nearest hundredth, in the interval from

\pi/2

to

7\pi/2

:

\cos(x) = -0.65

Suppose that

\cos \theta = \frac{2}{5}

and that

\theta

is in the 4th quadrant. Find

\sin \theta

and

\tan \theta

exactly.

Solve the following equation, where x is in degrees to the nearest tenth, in the interval from

-720^\circ

to

-180^\circ

:

\sin(x) = -0.95

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