Question

1. Prove csc(symbol for angle) tan(symbol for angle) = sec(symbol for angle)

2. Prove cosx+sinxtanx=secx

Answer 1

1.
cscØtanØ = secØ

LS = (1/sinØ)(sinØ/cosØ)
= 1/cosØ
= secØ
= RS

2. cosx + sinxtanx = secx
LS = cosx + sinx(sinx/cosx)
= (cos^2 x + sin^2 x)/cosx
= 1/cosx
= secx
= RS