Question
If then x = - ....
Hint:
A general solution is one which involves the integer ‘n’ and gives all solutions of a trigonometric equation.
The correct answer is:
Here, we have to find the value of x.
11 sin2x + 7 cos2x = 8 .
Or, 11 sin2x + 7 ( 1 - sin2x) = 8 .
Or, 11 sin2x + 7 - 7sin2x = 8 .
Or, 11sin2x - 7 sin2x = 8 - 7 .
Or, 4sin2x = 1
Or, sin2x = 1/4
Or, Sin2 x= Sin2 π/6
x = π/6
Hence, the correct option is (c).
Sin2x + Cos2x = 1
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