Question

solve: sin5x=cos2x ***************

Answer 1

sin5x = cos2x
cos[90-5x]= cos2x
from above, we get
90-5x = 2x
90=7x
x=

Answer 2

Answer:x=90/7

Step-by-step explanation:

given that

sin 5x =cos 2x

as we know that sin (90 - α) = cos α

then

⇒sin 5x = sin (90- 2x)

by comparing boththe sides

⇒5x = 90-2x

⇒7x= 90

⇒x =90/7

so for x=90/7 value of sin 5x is equal to cos 2x