Given an angle and constraint find the six trig functions of the angle

The video tutorial explains how to evaluate all six trigonometric functions using either the unit circle or a triangle. It focuses on a scenario where the cotangent of Theta is negative, which is not on the unit circle. The instructor guides through determining the correct quadrant for drawing a triangle, using the Pythagorean theorem to find the hypotenuse, and evaluating trigonometric identities. The process includes rationalizing denominators and understanding reciprocal identities.

What are the six trigonometric functions that need to be evaluated?

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Explain why the cotangent of Theta equal to -3 is not on the unit circle.

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In which quadrants is the cosine of Theta positive?

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How do you determine the quadrant in which to draw the triangle for evaluating trigonometric functions?

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What is the Pythagorean theorem used for in this context?

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Calculate the sine of Theta using the values derived from the triangle.

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What is the reciprocal of sine and how is it calculated?

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