Simplify the following trigonometric expression. cosθtan²θcotθ

This question requires the understanding of trigonometric identities. I'll list the ones that are needed to answer this question:

cotθ = 1 / tanθ

tanθ = sinθ / cosθ

Look at the latter identity. We can rewrite it as such:

tanθ * cosθ = sinθ

We are given the expression:

cosθ * tan²θ * cotθ

Referring to the first trigonometric identity above, substitute cotθ:

cosθ * tan²θ * (1 / tanθ)

Multiply tan²θ and the fraction:

cosθ * (tan²θ / tanθ)

cosθ * tanθ

Refer to the second trigonometric identity:

cosθ * tanθ

sinθ

cosθ * tan²θ * cotθ = sinθ

If you have any questions about how I got to the answer, feel free to ask

- breezyツ

step-by-step explanation:

ask goog great chance of finding the solution there

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.