Express tan-1(cos x/1-sin x) in the simplest form Kindly answer sir/mam - Maths - Inverse Trigonometric Functions

Question

Express tan-1(cos x/1-sin x) in the simplest form
Kindly answer sir/mam

Manbar Singh · Accepted Answer

tan-1cos x1 - sin x=tan-1sinπ2 - x1 - cosπ2 - x=tan-12 sinπ4 - x2 cosπ4 - x22 sin2π4 - x2=tan-1cosπ4 - x2sinπ4 - x2=tan-1cotπ4 - x2=tan-1tan π2 - π4 - x2=π4 + x2

Express tan-1(cos x/1-sin x) in the simplest form.Kindly answer sir/mam.

Express tan^-1(cos x/1-sin x) in the simplest form.Kindly answer sir/mam.