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Find the value of { ( { 90 }^{ o }-A ) } { ( { 90 }^{ o }-

Question

Find the value of $cos (90^{o} - A) tan (90^{o} - A) sec (90^{o} - A)$

cot A

tan A

cos A

cosec A

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Find the value of

cos (90^{o} - A) tan (90^{o} - A) sec (90^{o} - A)

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Text solutionVerified

cos (90^{o} - A) . tan (90^{o} - A) sec (90^{o} - A)

= sin A \times cot A \times cosec A

.....

[∵ cos (9 0^{o} - θ) = sin θ, tan (9 0^{o} - θ) = cot θ, sec (9 0^{o} - θ) = cosec θ]

= sin A \times \frac{cos A}{sin A} \times \frac{1}{sin A}

= \frac{cos A}{sin A} = cot A

Hence, option A is correct.

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Question Text	Find the value of $cos (90^{o} - A) tan (90^{o} - A) sec (90^{o} - A)$
Answer Type	Text solution:1
Upvotes	150