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    Question

    if 7 sin 2 x + 2 cos 2 x = 4

     then find tan x
    A 1 Correct Answer Incorrect Answer
    B 1/2 Correct Answer Incorrect Answer
    C √6/3 Correct Answer Incorrect Answer

    Solution

    7 sin 2 x + 2 cos 2 x = 4 ----- (1) Now we know that sin2 x + cos2 x = 1 or 7 sin2 x + 7 cos2 x = 7 ----(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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