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Question

If cosx+sinx=2cosx, then tan2x+2tanx is equal to

A
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B
1
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3
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Solution

The correct option is B 1
Given cosx+sinx=2cosx

(cosx+sinx)2=2cos2x
cos2x+sin2x+2sinxcosx=2cos2x
Divide cos2x both sides
1+tan2x+2tanx=2

tan2x+2tanx=1


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