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The value of ( {cosec} - { } ) ( { }- { } ) ( { }

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The value of $(cosec θ - sin θ) (sec θ - cos θ) (tan θ + cot θ)$ is

0

1

tan θ

cot θ

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Text solutionVerified

The value of

(cosec θ - sin θ) (sec θ - cos θ) (tan θ + cot θ)

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

= (\frac{1 - sin ^{2} θ}{sin θ}) (\frac{1 - cos ^{2} θ}{cos θ}) (\frac{1}{sin θ . cos θ})

= \frac{cos ^{2} θ \times sin ^{2} θ}{sin ^{2} θ \times cos ^{2} θ}

= 1

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Question Text	The value of $(cosec θ - sin θ) (sec θ - cos θ) (tan θ + cot θ)$ is
Answer Type	Text solution:1
Upvotes	150