Question

If cos a + sin a = √2 cos a,show that cos a - sin a = √2 sin a .

can anyone solve it ​

Answer 1

Answer:

Here is your answer

☆==================☆

------------------------------------------

Q.If cos A + sin A = √2 cos A then show that cos A -sin A =√2sin A

Solution :-

We have,

cos A + sin A =√2 cos A

=> ( cos A + sin A )² =2 cos² A

=> cos² A + sin² A + 2cos A sin A =2 cos²

=> cos² A - 2cos A sin A = sin² A

=> cos² A - 2cos A sin A + sin² A =2 sin ²A

=> ( cos A - sin A )² = 2 sin² A

=> cos A - sin A = √ 2 sin A

Step-by-step explanation:

Please mark me brilliant , like , vote and Follow me Guys!