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)`

The number of solutions of the equation "cos"^(7) theta + "sin"^(4) theta = 1 in the interval (-pi, pi) , is

Number of solutions of the equation "sin" 2 theta + 2 = 4"sin" theta + "cos" theta lying in the interval [pi, 5pi] is

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 costheta+sqrt(3)sintheta=2, then theta= a. pi//3 b. 2pi//3 c. 4pi//3 d. 5pi//3

The number of solution(s) of the equation cos2theta=(sqrt(2)+1)(costheta-1/(sqrt(2))) , in the interval (-pi/4,(3pi)/4), is 4 (b) 1 (c) 2 (d) 3

Which one of the following triplets CANNOT be the angles made by a line in space with the three coordinate axes? a. (pi/4,(3pi)/4,pi/2) b. (pi/4,pi/3,(2pi)/3) c. (pi/3,(3pi)/4,pi/3) d. (pi/4,pi/3,pi/4)

If roots of the equation 2x^2-4x+2sintheta-1=0 are of opposite sign, then theta belongs to (pi/6,(5pi)/6) (b) (0,pi/6)uu((5pi)/6,pi) ((13pi)/6,(17pi)/6) (d) (0,pi)

A value of theta satisfying costheta+sqrt(3)\ sin theta=2 is a. (5pi)/3 b. (4pi)/3 c. (2pi)/3 d. pi/3

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