" (a)."tan^(-1)((cos x)/(1-sin x))

tan^(-1)((1-cos x)/(sin x))

tan^(-1) ((1-cos x)/(sin x))

y=tan^(-1)(cos x/(1+sin x))

prove that tan^(-1)((cos x)/(1-sin x))-cot^(-1)((sqrt(1+cos x))/(sqrt(1-cos x)))=(pi)/(4),x varepsilon(0,(pi)/(2))

(b) tan^(-1)((1-cos x)/(sin x))

If y=tan^(-1) ((cos x)/(1-sin x)),"then " dy/dx=

"Differentiate: "tan^(-1)((cos x)/(1+sin x))

Express 'tan ^(^^)(-1)((cos x)/(1-sin x)),-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)/(4)+(x)/(2)) , (-3 pi)/(2)ltxlt(pi)/(2)