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Find sintheta + t a nthetaifcostheta=-(1...

Find `sintheta + t a nthetaifcostheta=-(12)/(13)a n d theta` lies in the third quadrant.

A

`-5/156`

B

`5/156`

C

`-5/13`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Given,
`costheta=(-12)/(13)`
we know that,
`sintheta=sqrt(1-cos^2theta)`
`sintheta=sqrt(1-(144)/(169))`
`sintheta=sqrt((25)/(169))`
`sintheta=5/13`
...
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