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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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