Question

squarerrot(1-cosx/1+cosx)=cosecx-cotx

Answer 1

\[LHS=\sqrt{\frac{1-cosx}{1+cosx}}=\sqrt{\frac{1-cosx}{1+cosx}*\frac{1-cosx}{1-cosx}}\]
\[=\sqrt{\frac{(1-cosx)^2}{1-\cos^2x}}\]
\[=\sqrt{\frac{(1-cosx)^2}{\sin^2x}}\]
\[=\frac{1-cosx}{sinx}\]
\[=\frac{1}{sinx}-\frac{cosx}{sinx}\]
\[=cosecx-cotx=RHS\]

Answer 2

prove??

Answer 3

yes
thanks