The total number of solution of `cosx=sqrt(1-sin2x)` in `[0,2pi]` is equal to 2 (b) 3 (c) 5 (d) none of these

The total number of solution of |cotx|=cotx+1/(sinx),x in [0,3pi] , is equal to 1 (b) 2 (c) 3 (d) 0

The total number of solutions of log_e |sin x| = -x^2 +2x in [0,pi] is equal to

The number of solutions of equation sin.(5x)/(2)-sin.(x)/(2)=2 in [0,2pi] is

The number of solution of the equation |2sinx-sqrt(3)|^(2cos^2 x-3cosx+1)=1in[0,pi] is 2 (b) 3 (c) 4 (d) 5

The number of solutions of sum_(r=1)^5cosrx=5 in the interval [0,2pi] is 0 (b) 2 (c) 5 (d) 10

The number of solution of the equation sin2theta-2costheta+4sintheta=4in[0,5pi] is equal to 3 (b) 4 (c) 5 (d) 6

The number of roots of (1-tantheta)(1+sin2theta)=1+tanthetafortheta in [0,2pi] is 3 (b) 4 (c) 5 (d) none of these

The total number of solution of sin{x}=cos{x} (where {} denotes the fractional part) in [0,2pi] is equal to 5 (b) 6 (c) 8 (d) none of these

lim_(x->1)(1-x^2)/(sin2pix) is equal to (a) 1/(2pi) (b) -1/pi (c) (-2)/pi (d) none of these

The total number of divisor of 480 that are of the form 4n+2,ngeq0, is equal to a. 2 b. 3 c. 4 d. none of these