solve: `tan^(-1)``((cos x)/(1-sin x))`=`((pi)/(4)+(x)/(2))`,`(-3 pi)/(2)ltxlt(pi)/(2)`

Prove that tan^(-1)((cos x)/(1+sin x))=(pi)/(4)-(x)/(2),|x in(-(pi)/(2),(pi)/(2))

Solve : tan^(-1)((cos x)/(1+sin x)) , -(pi)/(2) lt x lt (pi)/(2)

Express 'tan ^(^^)(-1)((cos x)/(1-sin x)),-pi/2

Express tan^(-1) ((cos x )/( 1- sin x) ) , ( -3 pi)/(2) lt x lt (pi)/(2) in the simplest form

Solve : tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4

Solve for x:2tan^(-1)(sin x)=tan^(-1)(2sec x),x!=(pi)/(2)

Solve : tan^(-1) ((x-1) /( x-2))-tan^(-1)((x+1)/(x+2))=(pi)/(4) ,

Solve tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/(4)

The expression (tan(x-(pi)/(2)).cos((3pi)/(2)+x)-sin^(3)((7pi)/(2)-x))/(cos(x-(pi)/(2)).tan((3pi)/(2)+x)) simplifies to

The expression (tan(x-(pi)/(2))cos((3 pi)/(2)+x)-sin^(3)((7 pi)/(2)-x))/(cos(x-(pi)/(2))tan((3 pi)/(2)+x)) is equal to