Question

If 7cos^2 A +3sin^2 A = 4 find value of TanA

Answer 1

7cos^2A+3sin^+A=4
4cos^2A+3cos^2A+3sin^2A=4
4cos^2A+3=4
4cos^2A=1
cos^2A=1/4
cosA=1/2
A=60
Now,
$tan60 = \sqrt{3}$