Answer:
Given;
secθ/tanθ
Now,
Rewrite tan(θ) in terms of sines and cosines.
secθ ÷ sinθ/cosθ
Rewrite secθ in terms of sines and cosines.
1/cosθ ÷ sinθ/cosθ
Multiply by the reciprocal of the fraction to divide by
sinθ/cosθ
i.e.,
1/cosθ × cosθ/sinθ = 1/sinθ
Convert from 1/sinθ to csc(θ)
csc(θ).
Hence Proved!!
-TheUnknownScientist 72