Simplify and write the trigonometric expression in terms of sine and cosine:

Question

sin x + (cot x)(cos x) = (1/f(x))
f(x)= ?

Answer 1

cot = cos/sin

sin x + cos^2 x /sin x = 1/y

sin^2 x + cos^2 x = sin x / y
but sin^2 + cos^2 = 1

so
y = sin x