Question

Find the value of (1+tan∅+sec∅) 1+cot∅-cosec∅)
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Answer 1

Answer :-

2

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Given :-

• (1 + tanθ + secθ) (1 + cotθ - cosecθ)

To Find :-

• Value of this

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Solution :-

$(1 + \frac{sinθ}{cosθ} + \frac{1}{cosθ} )(1 + \frac{cosθ}{sinθ} - \frac{1}{sinθ} )$

$\frac{cosθ + sinθ + 1}{cosθ} .( \frac{sinθ + cosθ - 1}{sinθ} )$

$\frac{((sinθ + cosθ) + 1).((sinθ + cosθ) - 1)}{sinθcosθ}$

$\frac{(sinθ + cosθ) {}^{2} - 1 }{sinθcosθ}$

$\frac{1 + 2sinθcosθ - 1}{sin cos}$

$= > 2$

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