Question

if √3sinA = cosA then find value of 3cos^2A + 2cosA/3cosA + 2

Answer 1

This is the answer....

Answer 2

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√3sinA=cosA

tanA=1/√3

A=30°

Now

=3cos²A+2cosA/3cosA+2

=cosA(3cosA+2)/3cosA+2

=cosA

=cos30

=√3/2.