Question

If secθ + tanθ = p. find the value of cosecθ.

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Answer 1

Explanation:

$secθ \: + tanθ = p$

$\frac{1}{cosθ} + \frac{sinθ}{cosθ} = p$

$\frac{1 +sinθ}{cosθ} = p$

$1 + sinθ \: = p \times cosθ$

$sinθ \: = p \times cosθ - 1$

$\frac{1}{cosecθ} = p \times cosθ - 1$

$cosecθ = \frac{1}{p \times cosθ - 1}$