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Question
(1+tanθ1+cotθ)2 = ____ .
Options:
A .  1
B .  tanθ
C .  tan2θ
D .  4
Answer: Option C
:
C
The given expression is
(1+tanθ1+cotθ)2=(1+tanθ1+1tanθ)2
=(1+tanθtanθ+1tanθ)2
=((tanθ)(1+tanθ)tanθ+1)2
=tan2θ

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