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

Answer:

x=20

Step-by-step explanation:

sin¢=cos90-¢

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

4x+10=90

4x=90-10=80

x=20

Answer 2

Answer:

1)    x = 20

2)   x = 80/3

Step-by-step 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