If `"cosec"x=1+cotx`, then `x=2npi,2npi+(pi)/(2)`

If cosecx=1+cotx, then x=2npi,2npi+(pi)/(2),ninZ .

The general solution of cosxcos6x=-1 is x=(2n+1)pi,n in Z x=2npi,n in Z x=npi,n in Z (d) none of these

The roots of the equation, cotx- cos x=1- cotx*cos x are : (i)npi+pi/4 (ii)2npi+pi/4 (iii)npi+pi/4 or 2npi+-pi (iv) (4n+1)pi/4 or(2n+1)pi; n in I

The roots of the equation cot x-cosx=1-cot xcos x are (1) npi+pi/4,n in I (2) 2npi+pi/4,n in I (3) 2npi+-pi or npi+pi/4,n in I (4) 2npi+pi or (4n+1)pi/4,n in I (5) npi,n in I

The general solution of cosxcos6x=-1 is (a) x=(2n+1)pi,n in Z (b) x=2npi,n in Z (c) x=npi,n in Z (d) none of these

The expression cos3theta+sin3theta+(2sin2theta-3)(sintheta-costheta) is positive for all theta in (2npi-(3pi)/4,2npi+pi/4),n in Z (2npi-pi/4,2npi+pi/6),n in Z (2npi-pi/3,2npi+pi/3),n in Z (2npi-pi/4,2npi+(3pi)/4),n in Z

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=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=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)