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Trigonometric Identities

Write the val...

Question

Write the value of $(c o t^{2} θ - \frac{1}{s i n^{2} θ})$

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Solution

$(c o t^{2} θ - \frac{1}{s i n^{2} θ})$

$= \frac{c o s^{2} θ}{s i n^{2} θ} - \frac{1}{s i n^{2} θ}$

$= \frac{c o s^{2} θ - 1}{s i n^{2} θ}$

$= \frac{- s i n^{2} θ}{s i n^{2} θ}$

$= - 1$

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