If `tanx tany=a` and `x+y=2b` show that `tanx and tany` are the roots of the equation `z^2-(1-a)tan2b*z+a=0`

If tanx+tany=25 and cotx+coty=30 then the value of tan(x+y) is

if (1+k)tan^2x-4tanx-1+k=0 has real roots tanx_1 and tanx_2 then

Solve the equation, (1-tanx)(1+sin2x)=1+tanx

If a, b, c are non - zero real numbers, the system of equations y+z=a+2x, x+z=b+2y, x+y=c+2z is consistent and b=4a+(c )/(4) , then the sum of the roots of the equation at^(2)+bt+c=0 is

If tan of the angles A , B , C are the solutions of the equations tan^(3)x-3ktan^(2)x-3tanx+k=0 , then the triangle ABC is

Solve the differential equation: tany\ dx+tanx\ dy=0

The general solution of the equation tanx/ (tan2x) + (tan2x)/tanx +2 =0 is

Let f(x)=max{tanx, cotx} . Then the number of roots of the equation f(x)=(1)/(2)" in "(0, 2pi) is

Find the general solution of the equation, 2+tanx.cot(x/2) +cotx.tan(x/2)=0

Prove tanx+ tany+ tanz=tan xtany tanz if x+y+z = pi