Question #b88bf
2 Answers
See below
Explanation:
To Prove
L.H.S.
Take LCM
Explanation:
#"using the "color(blue)"trigonometric identities"#
#•color(white)(x)cottheta=costheta/sintheta" and "tantheta=sintheta/costheta"#
#•color(white)(x)cosectheta=1/sintheta" and "sectheta=1/costheta"#
#•color(white)(x)cos^2theta+sin^2theta=1#
#rArrcottheta+tantheta#
#=>costheta/sintheta+sintheta/costheta#
#=>(cos^2theta+sin^2theta)/(sintheta×costheta)#
#=>1/(sinthetacostheta)=1/sintheta×1/costheta=csctheta×sectheta#