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If tanθ=4/3, then sin θ is

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a
- 4/5 but not 4/5
b
-4/5 or 4/5
c
4/5 but not - 4/5
d
none of these

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detailed solution

Correct option is B

We have, tan⁡θ<0⇒θ lies either in  II quadrant or IV quadrant⇒ sin⁡θ>0 or, sin⁡θ<0∴ tan⁡θ=−43⇒sin⁡θ=±45⇒sin⁡θ=45 or, sin⁡θ=−45


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