Question

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

Answer 1

45 degrees

Explanation:

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

Answer 2

∠45°

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 = (√(2) )/(2)`

`cos45 = (√(2) )/(2)`

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