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Method of Simplify sec(x)*cot(x): step by step process!

Method of Simplify sec(x)*cot(x): step by step process!

How many times have you wanted to simplify a trigonometric expression like sec(x)*cot(x)? 

Whether it’s for homework, an exam, or your job as an engineer, the process of simplifying these trigonometric expressions can seem complicated and overwhelming at first glance..

This step-by-step guide to simplifying sec(x)*cot(x) will get you started on the right track, whether you’re just starting out with trigonometry or if you’ve been working with it for years. Follow these steps to solve any similar problems that may come up in the future!

Where Does it Come From?

We first need to find where sec(x)*cot(x) come from. The reason we want to know is because if we understand how they work, we can learn a bit about trigonometry. 

What Is It Used For?

We use cosecant functions when we want to find angles in a triangle given two sides. The cosecant is an inverse function, meaning that if we start with one side and angle of a triangle, we can use a cosecant function to figure out values for other side lengths or angles. In addition, using a cosecant allows us to solve right triangles easily.

How Do I Solve It?

Since we’re not going to find a method for solving sec(x)*cot(x), our best bet is to simplify it. We can do that by first reducing everything inside of these parentheses and then combining like terms. The answer will look something like this:

Wrap Up

To simplify this question, you can rewrite using a trigonometric identity. For example, you can take each side and take it to a square root: . Then, for , move over to x=0: . Finally, convert back to sine and cosine by multiplying both sides by . You now have simplified this question. When solving problems like these, check your work carefully against a calculator or online answer.


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