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    If , then the value of is:
    Question

    If , then the value of is:

    A.

    -13/25

    B.

    -25/7

    C.

    25/8

    D.

    13/21

    Correct option is B

    Given: 
    tanA=32\tan A = \frac{3}{2} 
    To find; value of 3sinA+2cosA3sinA2cosA\frac{3 \sin A+2\cos A}{3 \sin A - 2 \cos A} 
    Concept Used: 
    when the value of any trigonometric function is given ,
    then we can make a right angle triangle through the given values 
    As we know that trigonometric function is always applicable in right angle tringle. 
    Formula Used:  
    Pythagoras theorem: 

    (Hypotenuse)2=(Perpendicular)2+(Base)2\text{(Hypotenuse)}^2 = \text{(Perpendicular)}^2+ \text{(Base)}^2 

    tanθ=sinθcosθ=PerpedicularBase\tan \theta = \frac{ \sin \theta}{\cos \theta} = \frac{ Perpedicular}{Base}  ​

    Solution:

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