The function `(sin(x+a))/(sin(x+b))` has no maxima or minima if (a) `b-a=npi,n in I` (b) `b-a=(2n+1)pi,n in I` (c) `b-a=2npi,n in I` (d) none of these

The straight line x cos theta+y sin theta=2 will touch the circle x^(2)+y^(2)-2x=0 if theta=n pi,n in IQ(b)A=(2n+1)pi,n in Itheta=2n pi,n in I(d) none of these

Which of the following is not the general solution of 2^(cos2x)+1=3. 2^-sin^(2x)? (a)npi,n in Z (b) (n+1/2)pi,n in Z (n-1/2)pi,n in Z (d) none of these

If A=[cos theta-sin theta sin theta cos theta], then A^(T)+A=I_(2), if theta=n pi,n in Z(b)theta=(2n+1)(pi)/(2),quad n in Z(c)theta=2n pi+(pi)/(3),quad n in Z(d) none of these

The general solution of the equation 2^(cos2x)=1=3.2^(-sin^2x) is (A) n pi,n epsilon i (B) (n+1/2) pi, n epsilon I (C) (n- 1/2) pi, n epsilon I (D) none 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

The solution(s) of the equation sin7x+cos2x=-2 is/are x=(2kpi)/7+(3pi)/(14),\ k in I (b) x=npi+pi/4\ k in I x=2npi+pi/2,\ k in I (d) none of these

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

The general solution of the equation tanx +sin(pi+x)=2sin^(2)((x)/(2)) is/are (A) n pi,n in I (B) 2n pi,n in I(C)(4n+1)(pi)/(4),n in I(D)n pi+(pi)/(3),n in I

Which of the following set of values of x satisfies the equation 2^(2sin^(2)x-3sin x+1)+2^(2-2sin^(2)x+3sin x)=9? (a) x=n pi+-(pi)/(6),n in I(b)x=n pi+-(pi)/(3),n in I(c)x=n pi,n in I(d)x=2n pi+(pi)/(2),n in I

The general solution of the equation 2cos2x=3.2cos^(2)x-4 is n in I(C)x=2n pi,n in I(B)x=n pi,n in I(C)x=(n pi)/(4),n in I(D)x=(n pi)/(2),n in I