If theta lies in the first quadrant a...

If ` theta ` lies in the first quadrant and ` 5 tan theta = 4 , " then " (5 sin theta - 3 cos theta )/( sin theta + 2 cos theta )=`

A

`5//14`

B

`3//14`

C

`1//14`

D

0

Text Solution

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The correct Answer is:

A

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( sin 4 theta - sin 2 theta )/(cos 4 theta + cos 2 theta )=

A

`cot theta `

B

`sin theta `

C

`cos theta `

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` tan theta `

4 sin 5 theta cos 3 theta sin 2 theta

A

`1+ cos 4 theta + cos 6 theta -cos 10 theta `

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`1- cos 4 theta + cos 6 theta - cos 10 theta `

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( sin 3 theta )/( sin theta ) -(cos 3 theta )/( cos theta )=

A

`2`

B

`sqrt(3)`

C

`sqrt(2)`

D

1

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