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If tantheta=a/b then find the value of (...

If `tantheta=a/b` then find the value of `(costheta+sintheta)/(costheta-sintheta)`

A

`(a+b)/(a-b)`

B

`(a-b)/(a+b)`

C

`(b+a)/(b-a)`

D

`(b-a)/(b+a)`

Text Solution

Verified by Experts

The correct Answer is:
C
`((costheta+sintheta))/((costheta-sintheta))=((1+tantheta))/((1-tantheta)) " " ["dividing num. and denom. by "costheta]`
`=((1+(a)/(b)))/((1-(a)/(b)))=((b+a))/((b-a)).`
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RS AGGARWAL-TRIGONOMETRIC IDENTITIES-Multiple Choice Questions (Mcq)
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  9. Choose the correct answer in each of the following questions: If (co...

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  13. If tan theta=a/b then (a sin theta-b cos theta)/(a sin theta+bcos thet...

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  14. Choose the correct answer in each of the following questions: If sin...

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  15. If cosA+cos^(2)A=1, then prove that sin^(2)A+sin^(4)A=1.

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  16. Choose the correct answer in each of the following questions: sqrt(...

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  17. sqrt((1+cosA)/(1-cosA))=

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  20. (sec A+tan A)(1-sin A)=?

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