Question

Simplify (1- sin A ) ( 1+ sin A ) ( 1+ tan square A)​

Answer 1

Answer:

$(1 - \sin( \alpha ) )(1 + \sin( \alpha ) )(1 + \tan ^{2} ( \alpha )) \\ = (1 - \sin ^{2} ( \alpha ) )( \sec ^{2} ( \alpha ) ) \\ = \cos ^{2} ( \alpha ) \times \frac{1}{\cos ^{2} ( \alpha ) } \: \: \: \: \: \: \: \\ = 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

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