Question

Trigonometry

Answer 1

90° is equal to  $\frac{\pi}{2}$ or 1.5707 radians.

Step-by-step explanation:

Step 1:

If an angle is represented in degrees, it will be of the form x°.  

If an angle is represented in radians, it will be of the form $\frac{\pi}{x}$ radians.

To convert degrees to radians, we multiply the degree measure by $\frac{\pi}{180}$.

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)($\frac{\pi}{180}$).

Step 2:

To convert 90°,

$90 (\frac{\pi}{180} ) = \frac{\pi}{2}.$

$0.5 \pi = 1.5707$ radians.

So 90° is equal to $\frac{\pi}{2}$ or 1.5707 radians.