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Solve Equationsusing Inverse Trigonometry Functions

In mathematics, inverse trigonometric functions are functions that take a trigonometric function as an argument and produce a value in the range of the domain of the original trigonometric function. The inverse trigonometric functions are the inverse functions of the trigonometric functions.

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in verse off San Cosan and Tangent. Now we're gonna be doing this mostly with a graphing calculator. And in just a moment, we're gonna pop over to the graphing calculator on the screen for you to see. So the first one just to kind of review when you're typing in the inverse, you're gonna type it in as why equal sign of X. Whatever your degree is, we're going to change this to why Equal sign of negative one. Same with the Cosan. So we'll have co sin of X. Well, look as why equals the inverse is gonna be coast on the negative. One is the exponents. And, of course, change. It would be working the same way. Why equals our tangent? X would be Why equals Tan negative one. And that's when we're putting them in the calculator. We're gonna do that. Now I'm gonna be using an online graphing calculator so it may look a little different than what you typically would be using, um, at home a t I 84. But the keys. They're gonna be very similar, though, so we're gonna use those. So in order to type it in, whatever it is, you're going to type in your gonna first creche your second button, and then you're going to type the sign Negative one r cosine or tangent. And this is just gonna be above the sign key. So wherever your son key is, that's the inverse is gonna be above that. And then you're gonna type in your problem. So let's do our first one we're gonna dio is going to be a sign of square root of three over to. So to type this in, you would do second sign, the inverse a sign and then because you're doing square were 23 you would do your second again. You're square root of three and then close your parentheses divided by two. So let's look and see what that's going to give us. So here we have Ah, similar graphing calculator. This is through Geo Jabarah and our functions. Now again, it's on line one. We're not going to press the second button, but we are gonna be using this inverse of sign, so we're gonna have our sign. Then we're gonna do our square root of three. Excuse me. Still eat that one. So we're gonna in versus sign square root of three. And of course, we'll move my arrow over to let you know we're through with that. Parentheses. The valley ba. She actually need another parentheses there, inside the princesses and divided by two. Let's try that one more time. So sign I'm all double by parentheses. Square root of three. Divide about two there were. So this tells me that this is going to bay 60 degrees. So this Saad or sign or inverse is going to bay 60 degrees and basically reason we're doing the inverse is they're going to give us what sign is what we would typically put as our operations or car. Why, over our x of our and we wanna find with that degree what's so we don't know. So for B, we're gonna find coasts. Innovex is equal the square root of two divided by two. So we wanna find excess. Let's go back to our calculator. So this time we're doing cosign. So we're gonna use our coasts on again because I'm doing this square root. I'm gonna double my parentheses square root, or to the square, and need to put that negative. Let's start that went over cosign parentheses. Negative. Square it too. The move this over. The valid by two. And so that tells me that eggs equals 135. Did Greece?

Liberty University
Algebra 2

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Top Algebra 2 Educators
GH
Grace H.

Numerade Educator

Shubham P.

University of Washington

Martha R.

Michigan State University

Heather Z.

Oregon State University

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