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If (sectheta+tantheta)/(sectheta-tanthet...

If `(sectheta+tantheta)/(sectheta-tantheta)=(5)/(3)`, then `sintheta` is equal to

A

`2/3`

B

`3/4`

C

`1/4`

D

`1/3`

Text Solution

Verified by Experts

The correct Answer is:
C
`(sec theta +tan theta )/ (sec theta - tan theta )` = `5/3`
`rArr(1 + sin theta) /(1 - sin theta)` = `5/3`
`rArr` 3 + 3sin `theta` = 5 - 5 sin `theta`
`rArr` 8 sin`theta` = 2
`rArr` sin `theta` = `1/4`
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