The solutions of the equation `1+(sinx-cosx)sinpi/4=2cos^2(5x)/2` is/are `x=(npi)/3+pi/8, n in Z` `x=(npi)/2+(5pi)/(16), n in Z` `x=(npi)/3+pi/4, n in Z` `x=(npi)/2+(7pi)/8, n in Z`

The general solution of the equation 8cos x cos2x cos4x=(sin6x)/(sin x) is x=((n pi)/(7))+((pi)/(21)),AA n in Zx=((2 pi)/(7))+((pi)/(14)),AA n in Zx=((n pi)/(7))+((pi)/(14)),AA n in Zx=(n pi)+((pi)/(14)),AA n in Z

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

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 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

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

Let tan x-tan^(2)x>0 and |2sin x| n pi,n in Z(b)x>n pi-(pi)/(6),n in Zx

The roots of the equation cot x-cos x=1-cot x cos x are(1)n pi+(pi)/(4),n in I(2)2n pi+(pi)/(4),n in I(3)2n pi+-pi or n pi+(pi)/(4),n in I(4)2n pi+pi or (4n+1)(pi)/(4),n in In pi,n in I

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

The expression cos3 theta+sin3 theta+(2sin2 theta-3)(sin theta-cos theta) is positive for all theta in (2n pi-(3 pi)/(4),2n pi+(pi)/(4)),n in Z(2n pi-(pi)/(4),2n pi+(pi)/(6)),n in Z(2n pi-(pi)/(3),2n pi+(3 pi)/(3)),n in Z(2n pi-(pi)/(4),2n pi+(3 pi)/(4)),n in Z

The solution of the equation 8^(1+|cosx|+|cos^2x|+|cos^3x|+.........) = 4^3 in the interval (-pi,pi)