Find `sin^(-1)(sintheta).cos^(-1)(costheta),tan^(-1)(tantheta),cot^(-1)(cottheta)` for `theta in ((5pi)/2,3pi)`

Find sin^(-1)(sin theta),cos^(-1)(cos theta),tan^(-1)(tan theta),cot^(-1)(cot theta) for theta epsilon((5pi)/2,3pi)

sintheta/(1-cottheta)+costheta/(1-tantheta)=

(costheta)/(1-tantheta)+(sintheta)/(1-cottheta) = …………….

If sintheta=3/5 , evaluate [(costheta-(1/tantheta))/(2cottheta)] .

If sintheta=3/5 , evaluate (costheta-1/(tantheta))/(2cottheta)

(sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2theta))-2tanthetacottheta=-1 if (a) theta in (0,pi/2)-{pi/4} (b) theta in (pi/2,pi) theta in (pi,(3pi)/2) (d) theta in ((3pi)/2,2pi)

(sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2theta))-2tanthetacottheta=-1 if theta in (0,pi/2) (b) theta in (pi/2,pi) theta in (pi,(3pi)/2) (d) theta in ((3pi)/2,2pi)

(sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2theta))-2tanthetacottheta=-1 if (a) theta in (0,pi/2) (b) theta in (pi/2,pi) (c) theta in (pi,(3pi)/2) (d) theta in ((3pi)/2,2pi)

(sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2theta))-2tanthetacottheta=-1 if theta in (0,pi/2) (b) theta in (pi/2,pi) theta in (pi,(3pi)/2) (d) theta in ((3pi)/2,2pi)

("sin"theta)/(1-costheta)+("tan"theta)/(1+costheta)=secthetacosectheta+cottheta