Question

Simplify the expression

Answer 1

`Hi, ~I'm ~beinggreat78,~ and~ am~ here~ to~ help~ you.`

The answer is D. Tanɵ. But why? Let's break it down. Tan pi + theta in the base equation should look like this...

`(tan\pi+ tanTheta)/(1 - tan\pi * tanTheta)`

We now have to simplify this expression. Let's do that.

`tan(\pi) = (sin\pi )/(cos\pi ) = (0)/(-1) = 0`

Now that we have broken this problem into simpler fragments, we have to put it all together, The final equation should look like the one below!

`tan(\pi + Theta) = (0 + tanTheta)/(1 - 0) = tanTheta`

With that information, we have solved the problem, your final answer is tanɵ

What have we learned?

We learned some knowledge on what simplifying expressions with complex mathematical terms looks like.