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    Question

    if 8 sin 2 x + 3 cos 2 x = 4

     then find tan x
    A 1 Correct Answer Incorrect Answer
    B 1/2 Correct Answer Incorrect Answer
    C 1/√2 Correct Answer Incorrect Answer

    Solution

    8 sin2 x + 3 cos2 x = 4 ----- (1) Now we know that sin2 x + cos2 x = 1 or 8 sin2 x + 8 cos2 x = 8 ----(2), So by solving equation (1) & (2), we will get, cos2 x = or cosx = Putting the value of cosx in equation (1), we will get sin x = so tan x = = =

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