Question Number 89958 by 20000193 last updated on 20/Apr/20
$${prove}\:{that}\:\left(\mathrm{1}+\mathrm{sin}\:{x}/\mathrm{1}+\mathrm{cos}\:\mathrm{3}\left(\mathrm{1sin}\:{x}/\mathrm{1}+\mathrm{cosec}\:{x}\right)={tanx}\right. \\ $$
Commented by john santu last updated on 20/Apr/20
$$\frac{\mathrm{1}+\mathrm{sin}\:{x}}{\mathrm{1}+\mathrm{cos}\:\mathrm{3}\left(\mathrm{1sin}\:{x}+\frac{\mathrm{1}}{\mathrm{1}+\mathrm{cosec}\:{x}\:}\right)}\:=\:\mathrm{tan}\:{x}? \\ $$