The value of $(1 + cot A - cosec A) (1 + tan A + sec A)$ is

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(1 + \frac{cos A}{sin A} - \frac{1}{sin A}) (1 + \frac{sin A}{cos A} + \frac{1}{cos A})

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

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

= \frac{sin ^{2} A + cos ^{2} A + 2 sin A . cos A - 1}{sin A . cos A}

= \frac{sin ^{2} A + cos ^{2} A - 1}{sin A . cos A} = \frac{2 sin A . cos A}{sin A . cos A} = 2

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Question Text	The value of $(1 + cot A - cosec A) (1 + tan A + sec A)$ is
Answer Type	Text solution:1
Upvotes	150