Question

answer the questions..... ​

Answer 1

Answer:

HOPE THE ATTACHMENT HELPS YOU

Answer 2

Step-by-step explanation:

According to the Question:-

sin a + sin b = 2 sin( (a+b)/2 ) cos( (a-b)/2)

sin a - sin b = 2 sin( (a-b)/2 ) cos( (a+b)/2)

Right side:

Solving the Equation

cot x ( sin 5x - sin 3x) = cot x cdot 2 sin ( (5x-3x)/2) cos ( (5x+3x)/2)

= cos x / sin x cdot 2 sin x cos 4x = 2 cos x cos 4x

Left side:

Solving the Equation

cot(4x) ( sin 5x + sin 3x) =cot(4x) cdot 2 sin ( (5x+3x)/2) cos ( (5x-3x)/2)

= {cos 4x}/{sin 4x} cdot 2 sin 4x cos x = 2 cos x cos 4 x

HENCE PROVED,