8.
If the solutions for θ of cospθ + cosqθ = 0, p > q > 0 are in A.P., then the numerically smallest common difference of A.P. is
13.
If sinθ = 3 sin (θ + 2α), then the value of tan(θ + α) + 2 tanα is
15.
If sin (π cosθ) = cos (π sinθ), then which of the following is correct ?
16.
If m tan (θ - 30°) = n tan (θ + 120°), then cos2θ equals
20.
The number of solutions of cos2θ = sinθ in (0, 2π) is
22.
The equation k sin x + cos 2x = 2k – 7 has a solution if
26.
The value of cos 20° + cos 100° + cos 140° is equal to
27.
The minimum value of 3 cosx + 4 sinx + 8 is
31.
If 8cos2θ + 8sec2θ = 65, 0 < θ < π/2, then the value of 4 cos4θ is equal to
37.
If sin A- √6 cosA = √7 cosA, then cos A +√6 sin A is equal to
46.
The period of the function f(x) = |sin 2x| + | cos 8x| is
