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This document defines trigonometric functions including sine, cosine, tangent, cosecant, secant and cotangent. It provides examples of using trigonometric functions to solve for missing sides or angles in right triangles. Finally, it introduces inverse trigonometric functions and how they can be used to find the measure of an angle given a trigonometric ratio.
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Trigonometry for Dummies provides an overview of trigonometric functions and how to measure angles. It defines the sine, cosine, and tangent functions using a right triangle and unit circle. Angles can be measured in degrees or radians, with radians defined as the intercepting arc of a central angle over the radius of a circle. The trigonometric functions are also defined in terms of their coordinates on a unit circle. Common trigonometric identities are presented relating functions like sine, cosine, cosecant, secant, and cotangent.
Trigonometry
Trigonometry is the study of triangles and angles. It discusses topics like the unit circle, quadrants, trig functions of sine, cosine and tangent, angle measures in degrees and radians, and trig identities. The unit circle is used to find trig function values of angles, with the radius being 1 and angles measured by coordinates (x,y) or (sin,cos). There are also discussions on converting between degree and radian measures, initial and terminal angles, reciprocal trig functions, and Pythagorean identities relating trig functions.
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Geometry Test Review
The document provides a review of trigonometric ratios such as sine, cosine, and tangent that are used to solve problems involving right triangles, includes examples of applying these ratios to solve practice problems involving missing side lengths and angle measures, and discusses special right triangles and the mnemonic device SOH CAH TOA to remember the trigonometric functions.
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The document provides a review of trigonometric ratios such as sine, cosine, and tangent that are used to solve problems involving right triangles, includes examples of applying these ratios to solve practice problems involving missing side lengths and angle measures, and reviews special right triangles and the SOH CAH TOA method for remembering the trigonometric functions.
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Pre-5.1 - trigonometry ratios in right triangle and special right triangles.ppt
Right triangle trigonometry is based on ratios of the sides of right triangles. The six trigonometric functions - sine, cosine, tangent, cotangent, secant, and cosecant - are defined by ratios of the opposite, adjacent, and hypotenuse sides. To find a missing angle or side, the appropriate trigonometric ratio is selected based on the known sides and then calculated. There are special right triangle theorems for 45-45-90 and 30-60-90 triangles that allow determining side lengths based on one known side length.
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