If 3 tan theta =4, then evaluate : 3sin theta + 2cos theta / 3sin theta - 2cos theta but why ypu dividing num. And denom. By cos
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Answer is 3
As
3 tan thetha=4
3sin thetha/cos thetha=4
3sin thetha=4 cos thetha
Now on putting the value of 3sin thetha,we'll get:
4cos thetha+ 2cos thetha/4cos thetha-2cos thetha
On simplifying,we'll get:
6cos thetha/ 2cos thetha=3
As
3 tan thetha=4
3sin thetha/cos thetha=4
3sin thetha=4 cos thetha
Now on putting the value of 3sin thetha,we'll get:
4cos thetha+ 2cos thetha/4cos thetha-2cos thetha
On simplifying,we'll get:
6cos thetha/ 2cos thetha=3
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