Question

If cosA-sinA=√2sinA, prove that cosA+ sinA=√2sinA

Answer 1

Step-by-step explanation:

cosA-sinA=√2sinA

cosA=√2sinA+sinA

cosA=sinA(√2+1)

sinA=cosA/(√2+1)

sinA=cosA/(√2+1)×(√2-1)/(√2-1)

sinA=cosA(√2-1)/(√2)²-1²

sinA=cosA(√2-1)

sinA=√2cosA-cosA

cosA+sinA=√2cosA