Question

* Sin 5x+ Sin3x/cos 5x+cos3x=tan4x​

Answer 1

Answer:

Step-by-step explanation:

HI

LHS = (sin5x + sin3x)/(cos5x + cos3x)

use the formula,

sinC + sinD = 2sin(C + D)/2.cos(C-D)/2

cosC + cosD = 2cos(C + D)/2.cos(C - D)/2

= {2sin(5x+3x)/2.cos(5x-3x)/2}/{2cos(5x+3x)/2.cos(5x-3x)/2}

= (2sin4x.cosx)/(2cos4x.cosx)

= sin4x/cos4x

= tan4x = RHS

PLEASE MARK ME AS BRAINLIEST