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 β if β < ∝.

sin(2x + 2) = cos(3x + 8)

Answer 1

34

Explanation

Sine and cosine of complementary angles. therefore

(2x + 2) + (3x + 8) = 90

x = 16

then,

2(16) + 2 → x = 34

3(16) + 8 → x = 56

which means

β = 34

Answer 2

the answer is B = 34
.....