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Section 4.3 The Unit Circle
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(0, 1) (0, -1) (1, 0)(-1, 0) 0, 0˚ 2π, 360˚ π2π2, 90˚ π, 180˚ 3π 2, 270˚ Quadrantal Angles “All Students Take Calculus” tells you where each trig function is positive. A S TC
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Let’s begin with an easy family… What are the coordinates? Now, reflect the triangle to the second quadrant…
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What are the coordinates? Now, reflect the triangle to the third quadrant…
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What are the coordinates? Now, reflect the triangle to the fourth quadrant…
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What are the coordinates?
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EX. Evaluate the six trig functions at θ =. **REMEMBER!!! cos θ is represented by the x-coordinates and sin θ is represented by the y-coordinates.**
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EX. Evaluate the six trig functions at θ =. Homework: worksheet
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Now, reflect the triangle to the second quadrant. Complete the family…
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Now, reflect the triangle to the third quadrant.
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Now, reflect the triangle to the fourth quadrant. What are the coordinates?
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EX. Evaluate the six trig functions at θ =.
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Homework: worksheet
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Complete the family… Now, reflect the triangle to the second quadrant. 60˚
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What are the coordinates? Now, reflect the triangle to the third quadrant.
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What are the coordinates? Now, reflect the triangle to the fourth quadrant.
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What are the coordinates?
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Shortcut to remember ordered pairs in quadrant 1 1322311322312 1)Parenthesis 2)Fractions with denominator of 2 3) 4) Square roots
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EX. Evaluate the six trig functions at θ =.
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Homework: worksheet
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