Simplify: $(sec θ + tan θ) (1 - sin θ)$

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(sec θ + tan θ) (1 - sin θ)

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Text solutionVerified

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

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

= (\frac{1 - sin ^{2} θ}{cos θ})

= \frac{cos ^{2} θ}{cos θ}

= cos θ

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