Math, asked by bhandarikrish92, 5 months ago

1-sinA/1+sinA
=secA -tanA​

Answers

Answered by mysticd
2

/* There is a mistake in the question. It must be like this */

 \red{ \sqrt{ \frac{(1-sin A)}{ (1 + Sin A }} = Sec A - tan A }

 LHS = \sqrt{ \frac{(1-sin A}{ (1 + Sin A )}}

 =  \sqrt{ \frac{(1-sin A)(1-sin A )}{ (1 + Sin A)(1 - Sin A ) }}

 = \sqrt{\frac{ ( 1 - sin A )^{2}}{ 1^{2} - sin^{2} A } }

 = \sqrt{\frac{ ( 1 - sin A )^{2}}{ 1 - sin^{2} A } }

 = \sqrt{\frac{ ( 1 - sin A )^{2}}{ cos^{2} A } }

 = \frac{1 - sin A }{ cos A } \\= \frac{ 1}{cos A } - \frac{Sin A}{Cos A }

 = Sec A - tan A \\= RHS

 Hence \:proved .

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Answered by Anisha5119
6

Answer:

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