Question

If tan A + Sin A = m & tan A – sin A = n, then the value of m^2 – n
2
is

Answer 1

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 

Attached

= 4 sin A. sin A/cos A

= 4 sin A. tan A 

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