Question

Use the cofunction identities to find an angle x that makes each statement true.

1.) sin(3x-15° )=cos(x+25°) 2.)cot(x-10° )=tan(2x+20°)

Answer 1

1) x = 20

2) x = 80/3

Explanation:

1) If sin A = Cos B, then A + B = 90

3x - 15 + x + 25 = 90

4x + 10 = 90

4x = 80

x = 20

2) If cot A = tan B, then A + B = 90

x - 10 + 2x + 20 = 90

3x +10 = 90

3x = 80

x = 80/3

Answer 2

x=20

Explanation:

sin¢=cos90-¢

therefore; 3x-15+x+25=90

4x+10=90

4x=90-10=80

x=20