Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of α
if α < β. sin(2x − 8) = cos(6x − 6)
1 answer:
Answer:
The value of angle α is 18 degree.
Step-by-step explanation:
Given information: Angles α and β are the two acute angles , α < β.
Given equation is

![[\because \sin (90-x)=\cos x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%20%2890-x%29%3D%5Ccos%20x%5D)
Equating both sides.




The value of x is 13.
The measure of angles is


Since 18<72, therefore the value of angle α is 18 degree.
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