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The value of { }. { ( { 90 }^{ o }- ) } + { } .{cosec

Question

The value of $tan θ . tan (90^{o} - θ) + cos θ . cosec (90^{o} - θ)$ is

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2

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tan θ . tan (90^{o} - θ) + cos θ . cosec (90^{o} - θ)

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Text solutionVerified

We know

tan (90 - θ) = cot θ

and

cosec (90 - θ) = sec θ

Also

tan θ = \frac{1}{cot θ}

cos θ = \frac{1}{sec θ}

So,

tan θ . tan (9 0^{o} - θ) + cos θ . cosec (9 0^{o} - θ)

= tan θ cot θ + cos θ sec θ

= 1 + 1 = 2

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Question Text	The value of $tan θ . tan (90^{o} - θ) + cos θ . cosec (90^{o} - θ)$ is
Answer Type	Text solution:1
Upvotes	150