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What is $tan 90 ° − A$ equal to?

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cos A

sin A

cot A

tan A

answer is C.

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Detailed Solution

Given expression

tan 90 ° − A

.
Use the property of trigonometric ratio:

tan θ = Perpendicular Base cot θ = Base Perpendicular

Let us find the value of

tan 90 ° − A

Δ A B C,

tan 90 ° − θ = A B B C tan 90 ° − θ = x y A l s o, ⇒ cot θ = A B B C ⇒ cot θ = x y

Thus,

tan 90 ° − θ = cot θ

Hence,

tan 90 ° − A = cot A

.
Therefore, option 3 is correct.

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