Question

Can anyone solve this for me?

Answer 1

8°

Explanation:

For the acute angles in a right triangle,

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

Given expression is:

`cos(7x)=sin(4x+2)\\sin(90-7x)=sin(4x+2)\\90-7x=4x+2\\88=11x\\x=8^o`

To check our answer, determine the measures of the other angles in a right triangle.

`A1=90^o\\A2=8^o\\A3=90-8=82^o`

The smallest angle is 8°