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SIMILAR QUESTIONS

Q1

The number of solution of the pair of equations 2sin2θ – cos2θ = 0 and 2cos2θ – 3sinθ = 0 in the interval [0, 2π] is

Q2

If sin 3α = 4 sin α sin (x + α) sin (x – α), then 864 sin2 x + 3620 cos2 x is equal to.

Q3

If x and y are the solution of the equation 12 sin x + 5 cos x + 5 cos x = 2y2 – 8y + 21, the value of 3864 cot (xy/2) is

Q4

The number of values of x in the interval [0, 3π] satisfying the equation 2sin2x + 5sinx – 3 = 0 is:

Q5

If 2sin2θ – 5sinθ + 2 > 0, θ  (0, 2π), then θ :

Q6

The number of solutions of the pair of equations

2sin2θ – cos2θ = 0

2cos2θ – 3sin θ = 0

In the interval [0, 2π] is

Q7

If are the smallest +ive angles n ascending order of magnitude which have their sines equal to a +ive quantity λ then the value of Q8

The equation a sinx + cos2x = 2a – 7 possesses a solution if

Q9

The number of values of x in the interval [0, 5π] satisfying the equation 3sin2x – 7sin x + 2 = 0 is

Q10

If n be the number of solutions of the equation 