# Question #b9e87

##### 2 Answers

It all depends on where you wish to take this. One option is:

#### Explanation:

SohCahToa

Soh

Cah

Toa

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Let the unknown term be

Given equation:

Write as:

But

This is written as:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

As in the Pythagoras equation

There is a comparable one involving

So

Using

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Thus the finished relationship is:

#### Explanation:

First of all, what are

Both are trigonometric functions, but

Substitute this in for the numerator in the original problem:

Remember that dividing by anything is the same as multiplying by the reciprocal of that thing. In other words, the following is mathematically valid:

Applying this to our equation, we see that:

Simplifying, we get:

If we want our answer to be in terms of

Replacing