The equation sin x = x^{2} + x + 1 has 
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The number of points inside or on the circle x^{2} + y^{2}= 4 satisfying tan4x + cot4x + 1 = 3 sin^{2}y, is
If 6sinx = x when x ∈ [0, 2π] then no. of solutions are
If the equation 4cos^{2} x sin x – 2sin^{2}x = 3sin x, then x is equal to –
Number of solutions of the equation cos^{6}x + tan^{2}x + cos^{6}x . tan^{2}x = 1 in the interval [0, 2π] is
If tan(cot x) = cot(tan x), then sin 2x =
Sum of the roots of the equation tan^{2}33x = cos 2x–1 lying in the interval [0, 314] is
If sin^{2} 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 sin^{2}x + sin^{2} 2x = 2 is
The Number of solutions of the equation sin^{3}x cos x + sin^{2}x cos^{2}x + sinx cos^{3}x = 1 in the interval [0, 2π] is/are
The number of solutions of the equation sin^{3}x cosx + sin^{2}x cos^{2}x + sinxcos^{3}x = 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 
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209 videos443 docs143 tests
