सिद्ध कीजिए कि `(cosx)/((1-sinx))=tan((pi)/(4)+(x)/(2))`

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Prove the following Identities (cosx)/(1-sinx)=tan((pi)/(4)+(x)/(2))

sqrt((1+sinx)/(1-sinx))=tan(pi/4+x/2)

Prove that, cosx/(1-sinx)=tan(pi/4+x/2)

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

Prove that tan^(-1)((cosx)/(1+sinx))=(pi/4-x/2)

Show that tan^-1(frac(cosx)(1-sinx))=pi/4+x/2

सिद्ध कीजिए कि 2tan^(-1)sqrt((b)/(a))=cos^(-1)((a-b)/(a+b))

tan^(-1)((cosx-sinx)/(cosx+sinx))=pi/4-x

Prove that : tan^(-1)((cosx)/(1-sinx))-cot^(-1)(sqrt((1+cosx)/(1-cosx)))=(pi)/(4), x in (0, pi//2) .

Write the following functions in the simplest form : tan^-1(cosx)/(1-sinx), - (3pi)/2 < x< pi/2