The equation sin x = x2 + x + 1 has -
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The number of points inside or on the circle x2 + y2= 4 satisfying tan4x + cot4x + 1 = 3 sin2y, is-
If 6|sinx| = x when x ∈ [0, 2π] then no. of solutions are-
If the equation 4cos2 x sin x – 2sin2x = 3sin x, then x is equal to –
Number of solutions of the equation cos6x + tan2x + cos6x . tan2x = 1 in the interval [0, 2π] is-
If tan(cot x) = cot(tan x), then sin 2x =
Sum of the roots of the equation tan233x = cos 2x–1 lying in the interval [0, 314] is-
If sin2 x + sin xy = – 1, then the value of x, y is
Total number of integral values of ‘n’ such that sinx(sinx + cosx) = n has at least one real solution is
General solution of 2 sin2x + sin2 2x = 2 is
The Number of solutions of the equation sin3x cos x + sin2x cos2x + sinx cos3x = 1 in the interval [0, 2π] is/are-
The number of solutions of the equation sin3x cosx + sin2x cos2x + sinxcos3x = 1 in the interval [ 0,2π] is/are
The general solution of sin x – 3sin 2x + sin 3x = cos x – 3 cos 2x + cos 3x is -