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Trig Equations: Inverses and Sines

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Trig Equations: Inverses and Sines

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Solve using inverses and trig basics

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Rema t
Rema t
United States

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Trig Equations: Inverses and Sines
 

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Trig Equations: Inverses and SinesOnline version

Solve using inverses and trig basics

by Rema t
1

Trigonometric equations involve finding that make an equation with sine , cosine , or tangent true . Unlike regular equations , trig functions , so there is usually more than correct answer . Because of this , students need to think about all the possible that could work , not just one . Solving these equations often includes using algebra skills , , and trig . Understanding the and angles makes it much easier to find the correct solutions .

2

When solving trig equations , it ? s important to know whether you ? re finding answers in a specific or all possible answers . Sometimes you only need solutions between and ? ( or 0° to ) , but other times you need a general solution that shows the pattern . This is where values like k come in . Students can use graphs , substitution , and to make solving these problems easier . Paying attention to helps make sure no solutions are missed .

3

Inverse trig functions , like , arccos , and arctan , are used to find an when you already know the value . These functions don ? t work the same way as regular trig because they have to make sure there ? s only one answer . Because of this , students need to be careful when writing their answers and make sure they ? re in the correct . Using a calculator , along with knowledge of the unit circle , helps make these problems easier to understand and solve .

4

Solving trig equations usually involves the inverse function and then finding the it represents . After that , students may need to check if there are , depending on the problem . These types of problems come up a lot in real - life situations , like finding angles in triangles or solving physics problems .

 
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