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(1-tan^(2)(45^(@)-A))/(1+tan^(2)(45^(@)-...

`(1-tan^(2)(45^(@)-A))/(1+tan^(2)(45^(@)-A))` is equal to

A

sin 2A

B

cos 2A

C

tan 2A

D

cot 2A

Text Solution

Verified by Experts

The correct Answer is:
A
`(-tan^(2)(45^(@)-A))/(1+tan^(2)(45^(@)-A))=(cos^(2)(45^(@)-A)-sin^(2)(45^(@)-A))/(cos^(2)(45^(@)-A)+sin^(2)(45^(@)-A))`
`=(cos2(45^(@)-A))/(1)=sin2A`
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