Question

11. *If sin (3x) = cos (7x), where x is an angle between 0° and 90º, what will be the value of tan (5x)?​

Answer 1

Answer:

x = 9

tan (5x) = tan 45 = 1

Step-by-step explanation:

sin (3x) = cos (7x) equ (1)

sin (90 - 7x) = cos (7x)

substitute in (1)

sin 3x = sin (90 - 7x)

remove sin on both sides

3x = 90 - 7x

3x + 7x = 90

10x = 90

x = 90/10

x = 9

sin 3x = sin (3×9) = sin 27

cos 7x = cos (7×9) = cos 63

tan 5x = tan (5×9) = tan 45 = 1

hope you get your answer