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If tan theta =-4/3, then sin theta is...

If `tan theta =-4/3,` then `sin theta` is

A

`-(4)/(5)` but not `(4)/(5)`

B

`-(4)/(5)` and `(4)/(5)`

C

`(4)/(5)` but not `-(4)/(5)`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
Since, `tan theta lt 0`.
`therefore` Angle `theta` is either in the second or fourth quadrant.
Then, `sin theta gt 0 or gt 0`
`therefore sin theta` may be `(4)/(5) or -(4)/(5)`
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