The range of values of `theta epsilon [ 0, 2pi]` for which `(1+ sin theta, 1 + cos theta)` lies inside the circle `x^2 + y^2 = 1`, is : (A) `(0, pi)` (B) `(5pi/4, 7pi/4)` (C) `(pi, 3pi/2)` (D) `(3pi/2, 2pi)`

The range of values of theta in [0, 2pi] for which (1+ cos theta, sin theta) is on interior point of the circle x^(2) +y^(2)=1 , is

The possible values of theta in (0,pi) such that sin (theta) + sin (4theta) + sin(7theta) = 0 are (1) (2pi)/9 , i/4 , (4pi)/9, pi/2, (3pi)/4 , (8pi)/9 (2) pi/4, (5pi)/12, pi/2 , (2pi)/3, (3pi)/4, (8pi)/9 (3) (2pi)/9, pi/4 , pi/2 , (2pi)/3 , (3pi)/4 , (35pi)/36 (4) (2pi)/9, pi/4, pi/2 , (2pi)/3 , (3pi)/4 , (8pi)/9

The possible values of theta in (0,pi) such that sin (theta) + sin (4theta) + sin(7theta) = 0 are (1) (2pi)/9 , i/4 , (4pi)/9, pi/2, (3pi)/4 , (8pi)/9 (2) pi/4, (5pi)/12, pi/2 , (2pi)/3, (3pi)/4, (8pi)/9 (3) (2pi)/9, pi/4 , pi/2 , (2pi)/3 , (3pi)/4 , (35pi)/36 (4) (2pi)/9, pi/4, pi/2 , (2pi)/3 , (3pi)/4 , (8pi)/9

For 0 cos^(-1)(sintheta) is true when theta belongs to (a) (pi/4,pi) (b) (pi,(3pi)/2) (c) (pi/4,(3pi)/4) (d) ((3pi)/4,2pi)

If tan theta=-3/4 and pi/2 < theta < pi, find the values of sin theta,cos theta and cot theta .

One of the root equation cosx-x+1/2=0 lies in the interval (0,pi/2) (b) (-pi/(2,0)) (c) (pi/2,pi) (d) (pi,(3pi)/2)

If the point (2costheta, 2sintheta), for theta in (0, 2pi) lies in the region between the lines x+y=1 and x-y=2 containing the origin then theta lies in (A) (0, pi/2)cup((3pi)/2, 2pi) (B) [0,pi] (C) (pi/2, (3pi)/2) (D) [pi/4, pi/2]

Period of sin^2 theta is(A) pi^2 (B) pi (C) 2pi (D) pi/2

A solution of the equation cos^2theta+sintheta+1=0 lies in the interval a. (-pi//4,pi//4) b. (pi//4,3pi//4) c. (3pi//4,5pi//4) d. (5pi//4,7pi//4)

If cos(sinx)=0, then x lies in (a) (pi/4,pi/2)uu(pi/2,\ pi) (b) (-pi/4,\ 0) (c) (pi,(3pi)/2) (d) null set