Use a calculator to evaluate each expression.

2 sin 25°13' cos 2...

Question

Use a calculator to evaluate each expression.

2 sin 25°13' cos 25°13' - sin 50°26'

Accepted Answer

Welcome back. Everyone. In this problem, we want to evaluate the expression two multiplied by the sign of 31 degrees. 53 minutes multiplied by the core sign of 31 degrees. 53 minutes minus sine multiplied by degrees. 46 minutes. For our answer choices, A equals zero B equals negative one C equals one and D equals two. Now, what are we trying to figure out here? Well, we want to evaluate our expression on a calculator and for some calculators, we're able to directly write our expression into the calculator. But for others, we may need to convert them to decimal degrees. So I'm going to write the alternate form with decimal degrees and then, whichever your calculator allows, you can go ahead and put in the expression. Now, before we can do that, recall that a minute for degrees is 1/60 of a degree. So that tells us for our expression, the 31 degrees and 53 minutes should actually be written as 31 and 53/ degrees. I won't divide the 53 by 60 because I leave it as an exact value for those whose calculators are able to input fractions, likewise, 63 degrees and 46 minutes can also be written as 63 and 46/60 degrees. So now we can go ahead and write our expression in our calculator because in decimal degrees, it would also be written as to sign 31 degrees or sorry, 31 and 53/60 degrees, along with the core sign of 31 and 53/60 degrees minus the sign of 63 and 46/60 degrees. Now, when you put that into a calculator and evaluate you will get zero, the value of our expression is zero, which would have been answer choice. A thanks a lot for watching everyone. I hope this video helped.

Use a calculator to evaluate each expression. 2 sin 25°13' cos 25°13' - sin 50°26'

Key Concepts

Trigonometric Functions

Angle Conversion

Trigonometric Identities

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