Question

Question #8fde7

Answer 1

`csc X/(sec X) = (1/(sin X))/(1/(cos X)) = cos X/(sin X) = cot X`

Answer 2

See proof below :)

Explanation:

To prove a trigonometric equation, you should always try to make the more complicated side of the equation equal to the other side. In this case, the left side is harder so we will solve that side.

**`cscX/secX=cotX`

To simplify different trig functions, such as cosecant and secant, they need to put into terms of sine and cosine.

`cscX=1/sinX`
`secX=1/cosX`

You can plug in these values into the equation.

`(1/sinX)/(1/cosX)=cotX`

`1/sinX * cosX/1=cotX`

`cosX/sinX=cotX`

`cotX=cotX`