Question

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

30º



45º



60º



75º

Answer 1

your answer is 45 hope this helps c;

Answer 2

45º

Explanation:

Acute angles are the angles which are less than 90 degrees.

All the given angles are less than 90 degrees and hence are acute angles.

Now, we need to find for which obtuse angle of sine and cosine are equal.

Now, we know the relation

`sin(90-\theta)=\cos\theta`

So, if
`\theta=45^(\circ)` then

`sin(90-45)^(\circ)=\cos45^(\circ)\\\\sin45^(\circ)=\cos45^(\circ)`

Therefore, for 45º the sine and cosine values are equal.

`\sin45^(\circ)=(1)/(\sqrt2)\\\\\cos45^(\circ)=(1)/(\sqrt2)`