Question

if tan teetha+sin teetha =m and tan teetha–sin teetha=n.show that m square-n square=4root of mn​

Answer 1

Step-by-step explanation:

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.

Hope it helps you mate...

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