If `4sin^4x+cos^4x=1,t h e nxi se q u a lto(n in Z)` `npi` (b) `npi+-sin^(-1)sqrt(2/5)` `(2npi)/3` (d) `2npi+-pi/4`

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

cos^(-1)((sin x+cos x)/(sqrt(2))),(pi)/(4) lt x lt (5pi)/4

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

If sinx+cosy=1 and cos2x-cos2y=1 then the values of x and y are (A) x=npi+(-1)^n pi/3, n in I, y=mpi+-pi/6, m in I (B) x=npi+(-1)^n pi/6, n in I, y=mpi+-pi/3, m in I (C) x=npi+(-1)^n pi/4, n in I, y=mpi+-pi/4, m in I (D) none of these

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

If 1/6sintheta,costheta\ "and" \ tantheta are in G.P. then the general solution for theta is (a) 2npi+-pi/3 (b) 2npi+-pi/6 npi+-pi/3 (d) none of these

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 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 cos2x-3cosx+1=(cos e c\ x)/(cotx-cot2x),\ then which of the following is true ? x=(2n+1)\ pi/2,\ n\ in I (b) x=2npi,\ n in I x=2npi+-cos^(-1)(2/5),\ n in I (d) no real x

If alpha,beta, gamma re the roots of the equations x^3+px^2+2x+p=0 then the general value of tan^-1 alpha+tan^-1 beta+tan^-1 gamma is (A) npi (B) (npi)/2 (C) (2n+1) pi/2 (D) dependent upon the value of p.