The general values of `theta` satisfying the equation `2sin^2theta-3sintheta-2=0` is `(n in Z)dot` `npi+(-1)^npi/6` (b) `npi+(-1)^npi/2` `npi+(-1)^n(5pi)/6` (d) `npi+(-1)^n(7pi)/6`

The most general value of x satisfying the equation tan x=(1+sin pi/5 -cos (2pi)/5)/(cos pi/5 + sin (2pi)/5) is (i)npi+pi/5 (ii)npi-pi/5 (iii)2npi+pi/5 (iv) 2npi-pi/5

The value(s) of theta, which satisfy the equation : 2cos^3 3thetatheta+4=3sin^2 3theta is/are (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(s) of theta , which satisfy 3-2\ costheta-4sintheta-cos2theta+sin2theta=0 is/are theta=2npi; n in I (b) 2npi+pi/2; n in I 2npi-pi/2; n in I (d) npi: n in I

The general solution of the equation tan2theta* tantheta = 1 for n in I, theta is equal to (i) (2n+1)pi/4 (ii)npi+-pi/6 (iii)(2n+1)pi/2 (iv) (2n+1)pi/3

The general solution ofthe trigonometrical equation sinx+cosx=1 for n=0, +- 1, +-1 is given by (a) x=2npi (b) x=2npi+pi/2 (c) x=npi+(-1)^npi/4-pi/4 (d) non of these

Statement-1: sin (pi+theta)=-sin theta Statement-2: sin(npi+theta)=(-1)^(n) sin theta , n in N .

The value of int_(0)^(2npi)[sin x cos x] dx is equal to

The value of (sintheta+i cos theta)^n is (A) sin n theta+i cos ntheta (B) cos ntheta-i sin n theta (C) cos ((npi)/2- ntheta)+is sin ((npi)/2- ntheta) (D) none of these

The general solution of the equation sin^(110)x-cos^(100)x=1 is 2n pi+(pi)/(3),n in I(b)npi+(pi)/(2),n in In pi+(pi)/(4),n in I(d)2n pi=(pi)/(3),n in I

If sin theta=(1)/(2) and cos theta=-(sqrt(3))/(2), then the general value of theta is (n in Z)*( a) 2n pi+(5 pi)/(6) (b) 2n pi+(pi)/(6)2n pi+(7 pi)/(6)( d) 2n pi+(pi)/(4)