Question #8fde7

2 Answers
Nghi N
Jun 21, 2017

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

Vianna S.
Jun 21, 2017

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

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