Question 1081080

 {{{tan(x) + cot(x) = 2}}}


{{{sin(x)/cos(x) + cos(x)/sin(x) = 2}}}


{{{(sin^2 (x) + cos^2( x))/(sin(x)cos(x)) = 2}}}


{{{1/(sin(x)cos(x)) = 2}}}


{{{2sin(x)cos(x)= 1}}}


{{{sin( 2x )= 1}}}


{{{2x = 90}}}° for {{{0 <= x <= 180}}}°


{{{x = 45}}}° or {{{pi/4}}} radians


we know {{{tan (45) = 1}}} and {{{cot(45) = 1}}}


then {{{tan^17 (x) + cot^17( x)= 1^17+ 1^17= 2}}}