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Sagot :
Step-by-step explanation:
tan2x = sin2x/cos2x
we know that ,
- sin2x = 2sinxcosx
- sin2x = 2sinxcosx cos2x = cos²x - sin²x
Since, tan2x = 2sinx*cosx/cos²x- sin²x
Dividing by cos²x in numerator and denominator.
We get ,
- tan2x = 2sinx/cosx / 1- sin²x/cos²x
- Since, we get tan2x= 2tanx/1-tan²x
- Option (c) is correct option.
- Hope it will be helpful
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