Question

Use basic identities to simplify the expression.
1 / cot^2 theta + sec theta cos theta​

Answer 1

(1 / cot²θ) + secθ cosθ

(1 / cotθ) == tanθ

Therefore

tan²θ + secθ cosθ

secθ == (1 / cos θ)

Therefore

tan²θ + (1 / cosθ) cosθ

The cosθ 's cancel out

Therefore

tan²θ + 1

tan²θ + 1 == sec²θ

Therefore

sec²θ is the simplified answer