Question

Use basic identities to simplify the expression. one divided by cotangent of theta to the second power. + sec θ cos θ

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