Question

if 4tanA=3,then find the value of cosA+2sinA

Answer 1

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The answer to your question is typed below^
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Given:

4 tan A = 3 ;                                                
Then;                                                           
tan A = 3 / 4

When tan  A = 3 / 4                                               
 we get ; sin A =  3/5   and cos A = 4/5 [by Pythagoras theorem]

Then substituting values of sin A and cos A in the question; we get:

⇒4/5 + 2 x 3/5
⇒ 4/5 + 6/5
⇒ 10/5
= 2                [Ans.]
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