calculus question

Question

What is one identity you could use to convert: sec θ cot θ sin θ = 1

1. 1/sin θ = csc θ

2. 1/tan θ = cot θ

3. sin θ /cos θ = cot θ

4. 1/cot θ = tan θ

Answer 1

sec(x)cot(x)sin(x)=1

sec(x)sin(x) * cot(x) = 1

(1/cos(x))sin(x) * cot(x)=1

sin(x)/cos(x) * cot(x)=1

tan(X) * cot(x) = 1

tan(x) = 1/cot(x)

ANSWER: 4. 1/cot(x) = tan(x)