Question

Find the two angles that satisfy the equation. sin(3x + 2)° = cos(x+44)°

Answer 1

x=21

Explanation:

3x+2=x+44

3x+2-2=x+44-2

3x=x+42

3x-x=x+42-x

2x=42

42/2x

Answer 2

35°, 55°

Explanation:

sin(3x + 2)° = cos(x+44)°

Since sine and cosine are based upon right triangles, the two angles must add up to 90°. Thereby, 3x+2 + x+44 = 90. Combine like terms to get:

4x + 46 = 90 subtract 46 from both sides

-46 -46

4x = 44 divide both sides by 4

4 4

x = 11 plug that back into both angles

3(11) + 2 = 35; 11 + 44 = 55