Trigonometry Fundamentals Quiz
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Questions and Answers

What are the three primary trigonometric functions and their definitions?

The three primary trigonometric functions are sine, cosine, and tangent. Sine is the ratio of the opposite side to the hypotenuse in a right-angled triangle. Cosine is the ratio of the adjacent side to the hypotenuse in a right-angled triangle. Tangent is the ratio of the opposite side to the adjacent side in a right-angled triangle.

How are trigonometric functions used to solve for unknown sides or angles in a right-angled triangle?

Trigonometric functions can be used with the known sides or angles in a right-angled triangle to calculate the unknown sides or angles. This is done by using trigonometric ratios such as sine, cosine, and tangent, along with the known angle or side length to calculate the unknown side or angle.

What is the unit circle and how is it related to trigonometry?

The unit circle is a circle with a radius of 1 centered at the origin of a Cartesian coordinate system. It is used to define trigonometric functions for all real numbers. The coordinates of points on the unit circle can be used to calculate the values of sine and cosine for any angle, and it provides a visual representation of the trigonometric functions.

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