Question

If CosФ+SinФ = (√2) cosФ, show that cosФ - sinФ = (√2) SinФ

Answer 1

Answer:

Step-by-step explanation:

sinФ+cosФ=√2cosФ

sinФ=√2cosФ-cosФ

=cosФ(√2-1)

multipying by (√2+1)on both sides

sinФ(√2+1)=cosФ(√2-1)(√2+1)

√2sinФ+sinФ=cosФ(2-1)

cosФ-sinФ=√2sinФ

Answer 2

see attachment

good night