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