Question

Hi, I was absent today in class and missed the whole lesson, this is not a grade exam this is a homework that my teacher assigned us to do, can you please explain how to do it much appreciated it I did half way but I don’t know how to find cot x

Answer 1

Given:

`\cos x\cdot\csc x`

Express in terms of sine and cosines.

`\cos x\cdot\csc x=\cos x\cdot(1)/(\sin x)`

We know that

`\text{A quotient identity }\cot x=(\cos x)/(\sin x)\text{.}`

Apply a quotient identity.

`\cos x\cdot\csc x=\cot x`

Hence proved

`\cos x\cdot\csc x=\cot x`