" 8."(cos x)/(1-sin x)=tan((pi)/(4)+(x)/(2))

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

Prove that (cos x)/((1- sin x)) = tan .((pi)/(4) + (x)/(2))

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

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

If 0

prove the following (cos2x)/(1+sin2x) = tan(pi/4-x)

Number of solutions of the trigonometric equation cos^(2)((pi)/(4)(cos x+sin x))-tan^(2)(x+(pi)/(4)tan^(2)x)=1in[-2 pi,2 pi] is

tan((pi)/(4)+(1)/(2)cos^(-1)x)+tan((pi)/(4)-(1)/(2)cos^(-1)x),x!=0 is equal to

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

Prove that : cos^(-1) x = 2 cos^(-1) sqrt((1+x)/(2)) (ii) Prove that : tan^(-1)((cosx + sin x)/(cosx - sin x)) = (pi)/(4)+ x