Sketch the graph of sinx in `[-pi/2,pi/2]andsin^(-1)` in [-1, 1].

Sketch the graph for y=|sinx|dot

Sketch the graph of y=sin""(1)/(3)x" for "0lexle6pi.

Sketch the graph of y= sin (1/3 x ) for 0 le x lt 6 pi .

The set of all x in ((-pi)/2,pi/2) satisfying |4sinx-1| < sqrt(5) is given by

Which of the following is/are true? (dy)/(dx)fory=sin^(-1)(cosx),w h e r ex in (0,pi),i s-1 (dy)/(dx)fory=sin^(-1)(cosx),w h e r ex in (0,2pi),i s1 (dy)/(dx)fory=cos^(-1)(sinx),w h e r ex in (-pi/2,pi/2),i s-1 (dy)/(dx)fory=cos^(-1)(sinx),w h e r ex in (pi/2,(3pi)/2),i s-1

Evaluate: int_(-pi/2)^(2pi)sin^(-1)(sinx)dx

Find the number of solutions of sin^2x-sinx-1=0in[-2pi,2pi]

If f(x)=sqrt(1-sin2x) , then f^(prime)(x) is equal to (a) -(cosx+sinx),forx in (pi/4,pi/2) (b) cosx+sinx ,forx in (0,pi/4) (c) -(cosx+sinx),forx in (0,pi/4) (d) cosx-sinx ,forx in (pi/4,pi/2)

The range of sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2] , where [.] denotes the greatest integer function, is {pi/2,pi} (b) {pi} (c) {pi/2} (d) none of these

G i v e nint_0^(pi/2)(dx)/(1+sinx+cosx)=log2. Then the value of integral int_0^(pi/2)(sinx)/(1+sinx+cosx)dx is equal to (a) 1/2log2 (b) pi/2-log2 (c) pi/4-1/2log2 (d) pi/2+log2