Question

How do you simplify `4cot(x+y)-2tan(x-y)` to trigonometric functions of x and y?

Answer 1

It is

#4cot(x+y)-2tan(x-y)=4[cos(x+y)/sin(x+y)]-2 [sin(x-y)/cos(x-y)]= 4[(cosx*cosy-sinx*siny)/(sinx*cosy+cosx*siny)]-2[(sinx*cosy-cosx*siny)/(cosx*cosy+sinx*siny)]#

Hence its expressed as trig functions of `x` and `y`.