1.

If cosA + sinA = √2 cosA then prove that cos A - sinA = √2 sinAPLEASE DO THIS QUESTION WITH THE LIMITED IDENTIFY AND THEORY OF A 10th GRADER.PLEASE DON'T SPAM OTHERWISE YOU WOULD BE REPORTED.​

Answer»

ANSWER:

Given, cosA+SINA=

2

cosA

⇒sinA=

2

cosA−cosA

⇒sinA=(

2

−1)cosA

⇒

cosA

sinA

=

2

−1

⇒tanA=

2

−1

⇒

tanA

1

=

2

−1

1

⇒cotA=

2

−1

1

×

2

+1

2

+1

⇒cotA=

2

+1

⇒

sinA

cosA

=

2

+1

⇒cosA=sinA(

2

+1)

⇒cosA=

2

sinA+sinA

⇒cosA−sinA=

2

sinA


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