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Question

If sinx=13 and cosx<0, then the value of tan3x is

A
23102
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B
23102
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C
2352
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D
23152
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Solution

The correct option is B 23102
sinx=13
As sinx is positive and cosx is negative, so x lies in the second quadrant.
tanx=122
tan3x=3tanxtan3x13tan2x =322+1162138 =2316258 =23102

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