1 + cot (theta) / cot (theta) ?

Question

1 plus cot theta
Divided by cot theta.

Simplify the terms to sin & cos only.

Thank you!

Answer 1

(1 + cotθ) / cotθ

Recall : Trigonometry formulas cotθ = cosθ / sinθ

Substitute cotθ = cosθ / sinθ

=(1 + cosθ / sinθ) / (cosθ / sinθ)

Simplify

=(sinθ + cosθ) / cosθ

=(sinθ / cosθ) + (cosθ / cosθ)

=(sinθ / cosθ) + 1.