# Trigonometry Functions & Exponentials on the CLEP Calculator

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• 0:06 History Mode
• 0:53 Arccosine Function
• 1:52 e^x Equations
• 2:46 Log Base x Equations
• 4:36 Lesson Summary
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Lesson Transcript
Instructor: Heather Higinbotham
In this lesson, review how to use the history on the CLEP calculator as we calculate sines, cosines and the inverse trigonometric functions. Finish by exploring exponentials and logarithms.

## History Mode

Let's take another look at the CLEP calculator. In particular, let's take a look at the history in a CLEP calculator, as well as various functions that you can use on a CLEP calculator.

First, let's say that you type in a couple of commands, say 7 / 9, and you click 'Enter'. And then, you type in the command 2 + 9, 'Enter'. Both of these are going to be shown in your history. So, if I click on the 'H' with the blue circle around it, I see 7 / 9, which gave me .7777777 and 2 + 9, which gave me 11, so I can see all of the previous entries that I had in here.

## Arccosine Function

Let's say I need to solve the equation cosx = 1/3 using a calculator. Now I know that I could take the inverse cosine of both sides of this function and end up with x equals the inverse cosine of 1/3. This inverse cosine is also known as the arccosine, and on the CLEP calculator it's listed as 'ACOS', so arccosine. Let's find the arccosine of 1/3. Arccos(1/3) = 1.23, but that's in radians. Let's say I'm looking for arccosine of 1/3 in degrees. That gives me 70.5 degrees, so cos(70.5 degrees) = 1/3.

## e^x Equations

Now let's use the exponential function. That is e. So, let's say e to the 1 gives me the value of e. That's e to the 1st power. Here this little caret, ^, means raised to, so e^1 is exactly like e superscript 1. So that gives me the value of e, which is 2.7. Log, 'log', and natural log, denoted ln, are the inverse functions of these. Remember that if you write e^x=y the inverse is the natural log. So if you take the natural log of this equation, then lny=x. Similarly, with 10, you have 10^x=y, then logy=x.

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