Question

55. If cos 0 + sine = v2 cos 0 , Show that cos 0 - sino = V2 sine.
​

Answer 1

Step-by-step explanation:

it's simple dude

see the attachment

hope it helps you

Answer 2

SOLUTION

HEY BUDDY...

YOU GOT YOUR SOLUTION SO I PROVIDE YOU A DIFFERENT WAY TO SOLVE THE SAME QUESTION......

(Cosθ + Sinθ)² = Cos²θ + Sin²θ + 2Sinθ.Cosθ

(Cosθ - Sinθ)² = Cos²θ + Sin²θ - 2Sinθ.Cosθ

ADD BOTH THE EQUATIONS

(Cosθ + Sinθ)² + (Cosθ - Sinθ)² = 2.....(1)

ACC TO QUESTION

Cosθ + Sinθ = √2Cosθ

put in (1)

(√2Cosθ)² + (Cosθ - Sinθ)² = 2

2Cos²θ + (Cosθ - Sinθ)² = 2

(Cosθ - Sinθ)² = 2(1 - Cos²θ)

(Cosθ - Sinθ)² = 2Sin²θ

Cosθ - Sinθ = √2Sinθ

#answerwithquality

#BAL