Write the value of sec2-1-sin-1-sin-

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Trigonometric Identities

Write the val...

Question

Write the value of $s e c^{2} θ (1 + s i n θ) (1 - s i n θ)$ .

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{sec}^{2} θ (1 + sin θ) (1 - sin θ) = k

k

|\sqrt{\frac{1 - \sin θ}{1 + \sin θ}}| + |\sqrt{\frac{1 + \sin θ}{1 - \sin θ}}| = - \frac{2}{\cos θ}, where \frac{π}{2} < θ < π

(1 + \tan^{2} θ) (1 + \sin θ) (1 - \sin θ)

sin θ (1 + sin θ) + cos θ (1 + cos θ) = x

sin θ (1 - sin θ) + cos θ (1 - cos θ) = y

cot θ = \frac{7}{8}

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

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