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Mastering Inverse Trig Functions - Evaluating and Approximating Expressions

Learn to evaluate and approximate inverse trigonometric expressions. Solve for x, understand domains and ranges, and apply definitions for arccos, arcsin, arctan, and more. Practice without calculators and learn to use them effectively to find values.

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Mastering Inverse Trig Functions - Evaluating and Approximating Expressions

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  1. Inverse Trig FunctionsObj: Be able to evaluate inverse trig expressions.TS: Explicitly assessing information and drawing conclusions. Warm Up: Solve for x in the interval [0, π] cos(x) = -½

  2. Definition of Inverse Trig y = arcsin(x) if and only if sin(y) = x Domain: Range: y = arccos(x) if and only if cos(y) = x Domain: Range: y = arctan(x) if and only if tan(y) = x Domain: Range: .

  3. Definition of Inverse Trig y = csc-1(x) if and only if csc(y) = x Domain: Range: y = sec-1 (x) if and only if sec(y) = x Domain: Range: y = cot-1 (x) if and only if cot(y) = x Domain: Range: .

  4. Examples: Evaluate without calc

  5. Examples: Approximate the values of each expression using your calculator.

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