Question

prove that（cosecθ－ cosθ)² =1－cosθ/1+cosθ​

Answer 1

L.H.S: $(cosecΘ - cosΘ)^{2}$

        = $cosec^{2}Θ+ cos^{2}Θ$ - 2cosecΘcosΘ

        = 1/$sin^{2}Θ$ + cos^{2}Θ[/tex] - 2cosΘ/sinΘ

        = (1+$cos^{2}Θ$*$sin^{2}Θ$ - 2cosΘsinΘ)/$sin^{2}Θ$

        =