Question

Prove the following trigonometric identity and show your work: (in other words, show that the identities on the left equal the one on the right). Please show all of your work. sinθ cot θ = cos θ

Answer 1

Step-by-step explanation:

sinθcotθ=cosθ

sinθ
`(cos)/(sin)`θ=cosθ

cosθ=cosθ

Answer 2

To prove that the trignometric identity sinθ cot θ is equal to cos θ, you can use the following:
sinθ cotθ = cosθ sinθ(cosθ/sinθ) = cosθ
cancel sinθ on the numerator and denominator and you will get:
cosθ = cosθ