Question

Cos-sin=√2cos prove that sin-cos=√2sin

Answer 1

Answer:

Step-by-step explanation:

Sin-cos=k

Cos^2+sin^+2sincos=2cos^2

Cos^2+sin^-2sincos=k^2

=2(sin^2+cos^2)=2cos^2+k^2

2-2cos^2=k^2

2(1-cos^2)=k^2

2sin^2=k

sin-cos=√2sin