Question

sin thita + cos thita = √2 cos thita then prove that cos thita - sin thita = √2 sin thita​

Answer 1

Step-by-step explanation:

pls refer to attachment

Answer 2

Step-by-step explanation:

> cos θ + sin θ = √2 cos θ

--> sin θ = √2 cos θ - cos θ

=> sin θ = ( √2 - 1 ) cos θ

=> [ sin θ / ( √2 - 1 ) ] = cos θ

=> [ sin θ ( √2 + 1 ) / ( 2 - 1 ) ] = cos θ

--> We rationalized the denominator in the 2nd step

=> [ √2 sin θ + sin θ ] = cos θ

=> cos θ - sin θ = √2 sin θ

√\___________Anushka❤❤