If `f(x) = min{tanx, cotx}` that `f(x) = 1` when x = (i) `(npi)/2 +pi/4` (ii) `(npi)+pi/6` (iii) `(npi) +pi/4` (iv) `(2npi) +pi/4`

The general value of theta satisfying cot theta=-sqrt(3) and cos theta = sqrt(3)/2 is (A) npi+pi/3 (B) npi- pi/3 (C) 2npi+pi/6 (D) 2npi- pi/6

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

If the middle term in the expansion of (1/x+xsinx)^(10) is equal to 7 7/8 , then the value of x is (i) 2npi+(pi)/6 (ii) npi+(pi)/6 (iii) npi+(-1)^(n)(pi)/6 (iv) npi+(-1)^(n)(pi)/3

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

The solution of 4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z) (a) npi+-pi/4 (b) 2npi+-pi/4 npi+pi/3 (d) npi-pi/6

The solution of 4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z) (a) npi+-pi/4 (b) 2npi+-pi/4 npi+pi/3 (d) npi-pi/6

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

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

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