tan u + cot u= 1/f(u)

Question

Simplify and write the trigonometric expression in terms of sine and cosine. Find f(u)

Answer 1

1) Express left side in sine and cosine

2) Use common denominator to add

3) Simplify

4) Look carefully

Answer 2

tan u = (sin u)/(cos u)

cot u = (cos u)/(sin u)

Find LCM of tan u + cot u

This will be f(u)