Question

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SIMILAR QUESTIONS

Q1

 

The number of solutions of the pair of equations   

     2sin2θ – cos2θ = 0   

    2cos2θ – 3sin θ = 0     

In the interval [0, 2π] is

Q2

 

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  

    

Q3

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

Q4

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

Q5

The number of solutions of the equation tan x.tan 4x = 1 for 0 < x < π is

Q6

If n be the number of solutions of the equation 

 

Q7

The values of x between 0 and 2π which satisfy the equation

 are in A.P. The common difference of the A.P. is

Q8

The number of pairs (xy) satisfying the equations sin x + sin y = sin (x + y) and | | + | y | = 1 is  

 

Q9

If 1 + sin θ + sin2θ + … to ∞ = 4 +  0 < θ < π, θ ≠ π/2, then

Q10

The general solution of the trigonometrical equation sin x + cos x = 1, for n = 0, ±1, ±2, … is given by