Question

For which acute angle are the sine of the angle and cosine of the angle equal?

Answer 1

Answer:

∠45°

Step-by-step explanation:

When looking at a unit circle, the only acute angle (an angle between

0° and 90°) that consists of an equal sine and cosine is 45°. This is because:

$sin 45 = \frac{\sqrt{2} }{2}$

$cos45 = \frac{\sqrt{2} }{2}$

45° is the only acute angle that contains an equal sine and cosine.

Answer 2

Answer:

45 degrees

Step-by-step explanation:

Since Sin(90-x) = Cos(x), we can find that the angle at which 90-x=x is 45 degrees. This corresponds to $\frac{\pi }{4}$ radians