If `x+y=pi/4a n dtanx+tany=1,t h e n(n in Z)` (a)`sinx=0a l w a y s` (b)when `x=npi+pi/4t h e ny=-npi` (c)when `x=npit h e ny=npi+(pi/4)` (d)when `x=npi+pi/4t h e ny=npi-(pi/4)`

If sin^3theta+sinthetacos^2theta=1,t h e ntheta is equal to (n in Z) (a) 2npi (b) 2npi+pi/2 (c) 2npi-pi/2 (d) npi

If sin^3theta+sinthetacos^2theta=1,t h e ntheta is equal to (n in Z) (a) 2npi (b) 2npi+pi/2 (c) 2npi-pi/2 (d) npi

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

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

For n in Z , the general solution of (sqrt(3)-1)sintheta+(sqrt(3)+1)costheta=2i s(n in Z) theta=2npi+-pi/4+pi/(12) theta=npi+(-1)^npi/4+pi/(12) theta=2npi+-pi/4 theta=npi+(-1)^npi/4-pi/(12)

For n in Z , the general solution of (sqrt(3)-1)sintheta+(sqrt(3)+1)costheta=2i s(n in Z) theta=2npi+-pi/4+pi/(12) theta=npi+(-1)^npi/4+pi/(12) theta=2npi+-pi/4 theta=npi+(-1)^npi/4-pi/(12)

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

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

A general solution of tan^2theta+cos2theta=1 is (n in Z) npi=pi/4 (b) 2npi+pi/4 npi+pi/4 (d) npi

A general solution of tan^2theta+cos2theta=1 is (n in Z) npi=pi/4 (b) 2npi+pi/4 npi+pi/4 (d) npi