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State the Pythagorean Identity, and (using a diagram) show why it is true. • Explain how...

State the Pythagorean Identity, and (using a diagram) show why it is true. • Explain how we use this identity to determine the value of all trigonometric functions of an angle, knowing only the value of one trigonometric function for that angle and the quadrant the terminal side of the angle lies in (from standard position). • Demonstrate with an example that it is possible to find the values of the other five trigonometric functions for the angle without ever finding the measure of the angle itself.

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