Trigonometric and Polar Functions

To find the ratio of sides in a right triangle given an angle.

To find the angle whose trigonometric ratio is a given value.

To calculate the area of a triangle.

To determine the length of the hypotenuse in a right triangle.

$[0, \pi]$

$(-{\pi}/2, {\pi}/2)$

$[-{\pi}/2, {\pi}/2]$

$(0, \pi)$

$[-{\pi}/2, {\pi}/2]$

$(0, \pi)$

$[0, \pi]$

$(0, 2\pi)$

0

${\pi}/4$

$-{\pi}/3$

${\pi}/2$

Yes, it is within the range.

No, it is not within the range.

It depends on the value of x.

The range is undefined.

Yes, it is within the range.

No, it is not within the range.

It depends on the value of x.

The range is undefined.

Yes, it is within the range.

No, it is not within the range.

It depends on the value of x.

The range is undefined.

0

${\pi}/4$

${\pi}/2$

$\pi$

${\pi}/6$

${\pi}/4$

${\pi}/3$

${\pi}/2$

${\pi}/6$

${\pi}/4$

${\pi}/3$

${\pi}/2$