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Choose the correct answer in each of the following questions:
If `3cot theta =4 " then " ((5 sin theta + 3 cos theta))/((5 sin theta-3 cos theta))=?`

A

`(1)/(3)`

B

3

C

`(1)/(9)`

D

9

Text Solution

Verified by Experts

The correct Answer is:
D
Given, `cot theta=(4)/(3).`
`therefore ((5sintheta+3costheta))/((5sintheta-3costheta))=(5+3cot theta)/(5-3cot theta) " "["dividing num. and denom. by "sintheta]`
`=((5+3xx(4)/(3)))/((5-3xx(4)/(3)))=((5+4))/((5-4))=(9)/(1)=9.`
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