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Solving Right Triangles and the Unit Circle 30 November 2010
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Inverse Trigonometric Functions We can “undo” trig functions by using the correct inverse trig function Gives us the angle measurement (theda) Represented with a small –1 in the upper right hand corner Ex. 2 nd button → correct trig function
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Inverse Trigonometric Functions, cont.
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Your Turn: Solve for theda
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Solving Right Triangles If given two sides of a triangle, then we can solve for any of the angles of the triangle. 54
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Solving Right Triangles, cont. 1. Ask yourself what types of sides do you have: opposite, adjacent, and/or hypotenuse? 2. Pick the appropriate trig function to solve for 3. Solve for using the inverse trigonometric function 54
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Solving Right Triangles, cont. 54
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Your Turn: Pg. 430: 25 – 28
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The Unit Circle – Introduction Circle with radius of 1 1 Revolution = 360° 2 Revolutions = 720° Positive angles move counterclockwise around the circle Negative angles move clockwise around the circle
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Coterminal Angles co – terminal Coterminal Angles – Angles that end at the same spot with or jointending
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Coterminal Angles, cont. Each positive angle has a negative coterminal angle Each negative angle has a positive coterminal angle
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Coterminal Examples 30° 390° 750° –330°
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On a separate sheet of paper, find three coterminal angles with the given angle measure. One of the angles must be negative. 1. 45°2. 250°3. –20° 4. 720° 5. –200°
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Radian Measure Another way of measuring angles Convenient because major measurements of a circle (circumference, area, etc.) are involve pi Radians result in easier numbers to use
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