Question

Angles ∝ and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of ∝ if ∝ < β. ?
sin(2x - 8) = cos(6x - 6)

Answer 1

Sin(2x-8)=cos(90-2x+8)=cos(6x-6).
So 98-2x=6x-6, 104=8x, x=13.
2x-8=18, 6x-6=72. The smaller angle is 18 and the larger angle is 72.