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Published byBranden Malcolm Mason Modified over 9 years ago
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Find the exact values:
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Inverse Trig Functions
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Inverse: “the angle whose (trig function) is x” Arcsin x or [-90° to 90°] Arccos x or [0° to 180°] Arctan x or (-90° to 90°) I wonder why the above inverses are limited to the different domains above……let’s explore.
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Recall that for a function to have an INVERSE function, it must be one-to-one. In other words, it must pass the Horizontal Line Test. Let’s see why Inverse Sine has a restricted domain…….
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When evaluating the inverse sine function, it helps to remember the phrase “the arcsine of x is the angle (or number) whose sine is x.” The angle you are looking for MUST give a POSITIVE answer for sine. Therefore, we must be in Quadrant I. + -
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Evaluate Must be in Q4. Possible Answers:
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Evaluate: + - + -
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+ -
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Not on the Unit Circle – MUST DRAW! 513 12
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Homework Inverse Trig worksheet
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