Trigonometric Functions

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9 Terms

1
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What is

180o degrees

in radians?

π radians

2
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What is

1 radian

in degrees?

3
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How do you convert from degrees to radians?

  • multiply by π/180o

4
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How do you convert from radians to degrees?

  • multiply by 180/π

<img src="https://knowt-user-attachments.s3.amazonaws.com/d40b6b56-85bd-4971-a53a-de6b42ad35ec.png" data-width="75%" data-align="center"><img src="https://knowt-user-attachments.s3.amazonaws.com/37c7eb8f-8c50-4974-9882-1a5c83fbf54d.png" data-width="75%" data-align="center"><ul><li><p>multiply by 180/<span>π</span></p></li></ul><p></p>
5
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Sketch the trigonometric function

y = Sinx

6
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Sketch the trigonometric function

y = Cosx

7
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What is a sinusoidal graph?

repeats periodically

8
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Solve the trigonometric equation, where 0o < θ < 360o

Sin 3θ = -1/2

  • find the reference angle, assume positive

  • equation has a negative answer, find the quadrants where Sin is negative

  • use reference angle to find angle in that quadrant

  • let answers equal 3θ

<ul><li><p>find the reference angle, assume positive</p></li><li><p>equation has a negative answer, find the quadrants where Sin is negative</p></li><li><p>use reference angle to find angle in that quadrant</p></li><li><p>let answers equal 3θ</p></li></ul><p></p>
9
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Other name for reference angle

Principal Value