Question

prove that -sin(50+ θ)×COS (20+θ) – Cos(50+θ) ×Sin (20+θ) =1/2​​

Answer 1

Answer:

Bro, your question has a mistake. If there is a - sign in the sin(50 + θ) the answer cannot be proved. It has to be like this:

sin(50 + θ)cos(20 + θ) - cos(50 + θ)sin(20 + θ)

Step-by-step explanation:

LHS = sin(50 + θ)cos(20 + θ) - cos(50 + θ)sin(20 + θ)

       = sin(50 + θ)cos(20 + θ) - cos(50 + θ)sin(20 + θ))

       = sin( 50 + θ - 20 - θ))

       =  sin (30)

       = 1/2 = RHS

Hence proved

MARK AS BRAINLIEST  :)