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

A

`(7)/(3)`

B

`(7)/(4)`

C

`(7)/(5)`

D

`(5)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
C
`tan theta=(4)/(3)=(BC)/(AB).`
`therefore AC^(2)=AB^(2)+BC^(2)=(3)^(2)+(4)^(2)=25`
`rArrAC=sqrt(25)=5.`
`therefore (sintheta+costheta)=((4)/(5)+(3)/(5))=(7)/(5).`
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