Question

if, tanA+sinA=a and tanA-sinA=b. then prove that (a^2-b^2) ^2 = 16ab​

Answer 1

Answer:

Here

m2 – n2 = (tan A + sin A)2 – (tan A – sin A)2

= (tan A + sin A + tan – sin A)(tan A + sin A – tan A + sin A)

= (2 tan A)(2 sin A)

= 4 tan A sin A     …..(1)

Also 



= 4 sin A. sin A/cos A

= 4 sin A. tan A     …..(2)

Using  eq. (1) and eq. (2) we get the required conditions.

Hence Proved.

Step-by-step explanation:

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