Having Difficulties Simplifying an Expression Using Trigonometric Identities

Hello,

This question may seem easy to many. However, simplifying equations using trigonometric identities has always been a weakness of mine.

The expression to simplify is:

sin^{2}(x) / cot(x)

I have tried a number of methods and used a number of different identities, to no avail. Often it seems like the expressions I am creating during simplification are more complex than the original expression itself.

Any help that can be provided is greatly appreciated. If someone can post the individual steps they took to solve this question, that would be even better. :)

Thanks!

Eric.

Re: Having Difficulties Simplifying an Expression Using Trigonometric Identities

not much one can do to "simplify" this expression ... maybe

or ,

but that doesn't get you much in the way of "simplification".

was the original expression?

Re: Having Difficulties Simplifying an Expression Using Trigonometric Identities

The expression posted above is the original expression.

I have tried plugging this expression into some "automatic solver" applications online, and the proposed answer is always tan(x). However, having an answer isn't very handy if I cannot figure out how to arrive at it.

Re: Having Difficulties Simplifying an Expression Using Trigonometric Identities

Re: Having Difficulties Simplifying an Expression Using Trigonometric Identities

The question that is asked is:

"Given the functions f(x) = sin^{2}(x) and g(x) = cot(x), determine the equation (f/g)(x) and simplify."

To my knowledge, (f/g)(x) = sin^{2}(x) / cot(x). If I am incorrect, definitely let me know.

Re: Having Difficulties Simplifying an Expression Using Trigonometric Identities