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

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

The general value of theta satisfying cot theta=-sqrt(3) and cos theta = sqrt(3)/2 is (A) npi+pi/3 (B) npi- pi/3 (C) 2npi+pi/6 (D) 2npi- pi/6

The smallest positive angle which satisfies the equation 2sin^2theta+sqrt(3)costheta+1=0 is (5pi)/6 b. (2pi)/3 c. pi/3 d. pi/6

Find values of theta satisfying sintheta+sin5theta=sin3theta such that 0<=theta<=pi

The value(s) of theta, which satisfy the equation : 2cos^3 3theta+4=3sin^2 3theta is/are (a) (2npi)/3+(2pi)/9,\ n in I (b) (2npi)/3-(2pi)/9,\ n in I\ (2npi)/5+(2pi)/5,\ n in I\ (d) (2npi)/5-(2pi)/5,\ n in I

The value of the determinant |(sintheta, costheta, sin2theta) , (sin(theta+(2pi)/3), cos(theta+(2pi)/3), sin(2theta+(4pi)/3)) , (sin(theta-(2pi)/3), cos(theta-(2pi)/3), sin(2theta-(4pi)/3))|

The value of sin^(-1)(-sqrt(3)//2)\ is- a. -pi//3 b. -2pi//3 c. 4pi//3 d. 5pi//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

Find the values of cos theta and tan theta when sin theta =-3/5 and pi < theta < (3pi)/2