The most general value for which `tantheta=-1` and `costheta=1/(sqrt(2))` is (`n in Z)` (A) `npi+(7pi)/4` (B) `npi+(-1)^n(7pi)/4` (C) `2npi+(7pi)/4` (D) none of these

sin^-1 (sin ((7pi)/6))= (A) (7pi)/6 (B) pi/6 (C) -pi/6 (D) none of these

If sintheta= - 1/2 and tan theta = 1/sqrt(3) then the most general values of theta equal to (A) 2npi+pi/6 (B) 2npi=(5pi)/6 (C) 2npi+(7pi)/6 (D) none of these

A general solution of tan^(2)theta+cos2 theta=1 is (n in Z)n pi=(pi)/(4) (b) 2n pi+(pi)/(4)n pi+(pi)/(4) (d) n pi

The general solution of the equation 7cos^(2)theta+3sin^(2)theta=4 is theta=2n pi+-(pi)/(6),nZ b.theta=2n pi+-(2 pi)/(3),nZ c.theta=2n pi+-(pi)/(3),nZ d.none of these

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

General solution for |sin x|=cos x is 2n pi+(pi)/(4),n in I(b)2n pi+-(pi)/(4),n in1n pi+(pi)/(4),n in1(d) none of these

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)

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

For n in Z, the general solution of (sqrt(3)-1)sin theta+(sqrt(3)+1)cos theta=2is(n in Z)theta=2n pi+-(pi)/(4)+(pi)/(12)theta=n pi+(-1)^(n)(pi)/(4)+(pi)/(12)theta=2n pi+-(pi)/(4)theta=n pi+(-1)^(n)(pi)/(4)-(pi)/(12)

If 4cos^(2)theta+sqrt(3)=2(sqrt(3)+1)cos theta, then theta is 2n pi+-(pi)/(3),n in I(b)2n pi+-(pi)/(4),n in I2n pi+-(pi)/(6),n in I(d) none of these