If `(cos e c^2theta-4)x^2+(cottheta+sqrt(3))x+cos^2(3pi)/2=0` holds true for all real `x ,` then the most general values of `theta` can be given by `n in Z)` `2npi+(11pi)/6` (b) `2npi+(5pi)/6` `2npi+-(7pi)/6` (d) `npi+-(11pi)/6`

A general solution of tan^2theta+cos2theta=1 is (n in Z) npi=pi/4 (b) 2npi+pi/4 npi+pi/4 (d) npi

If the vectors vec aa n d vec b are linearly idependent satisfying (sqrt(3)tantheta+1 )veca+(sqrt(3)s e ctheta-2) vec b=0, then the most general values of theta are a. 2npi-pi/6, n in Z b. 2npi+-(11pi)/6, n in Z c. npi+-pi/6, n in Z d. 2npi+(11pi)/6, n in Z

The solution of 4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z) (a) npi+-pi/4 (b) 2npi+-pi/4 npi+pi/3 (d) npi-pi/6

If x/(costheta)=y/(cos(theta-(2pi)/3))=z/(cos(theta+(2pi)/3)) then x+y+z is

Which of the following is not the solution of the equation sin5x=16sin^5x(n in Z)? (a) npi (b) npi+pi/6 (c) npi-pi/6 (d) none of these

If 4sin^4x+cos^4x=1 ,then x is equal to (n in Z) (a) npi (b) npi+-sin^(-1)sqrt(2/5) (c) (2npi)/3 (d) 2npi+-pi/4

The general solution of the equation sinx-3sin2x+sin3x=cosx-3cos2x+cos3x is (n in Z) npi+pi/8 (b) (npi)/2+pi/8 (-1)^n(npi)/2+pi/8 (d) 2npi+cos^(-1)2/3

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)

The angle between the tangents to the curve y=x^2-5x+6 at the point (2, 0) and (3, 0) is (a) pi/2 (b) pi/3 (c) pi (d) pi/4

Show that the following two equations represent the same set of angles: theta - pi/6 = 2npi +-pi/3 and theta + pi/3 = npi + (-1)^(n) pi/6