Question

if cos+sin=√2cos, then find the value of cos-sin?​

Answer 1

Answer:

√2sinA

Step-by-step explanation:

cosA + sinA = √2cos

=> (√2-1)cosA = sinA

=> tanA = √2-1

On rationalization :

=> tanA = (√2-1)× (√2+1)/(√2+1)

=> tanA = 1/√2+1

=> sinA/cosA = 1/√2+1

=> cosA/sinA = √2+1

=> cosA = √2sinA+sinA

=> cosA-sinA = √2sinA

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