Uses of TrigonometryA series of free High School Geometry Video Lessons from Brightstorm.
Angle of Elevation and Depression In real world situations we often discuss the angle of elevation and depression. The angle of elevation and depression is used often in word problems, especially those involving a persons line of sight as they look up at an object. These angles can be used to solve problems involving trigonometric functions such as sine, cosine, and tangent, and the inverse trigonometric functions.
Using Sine to Calculate the Area of a Triangle Using the standard formula for the area of a triangle, we can derive a formula for using sine to calculate the area of a triangle. Using sine to calculate the area of a triangle means that we can find the area knowing only the measures of two sides and an angle of the triangle. There is no need to know the height of the triangle, only how to calculate using the sine function
The Law of Sines One method for solving for a missing length or angle of a triangle is by using the law of sines. The law of sines, unlike the law of cosines, uses proportions to solve for missing lengths. The ratio of the sine of an angle to the side opposite it is equal for all three angles of a triangle. The law of sines works for any triangle, not just right triangles.
The Law of Cosines One method for solving for a missing length or angle of a triangle is by using the law of cosines. The law of cosines, unlike the law of sines, is similar to the Pythagorean theorem, but it works for all triangles, not just right triangles. In order to understand how to use the law of cosines effectively, one must understand the cosine function andinverse trigonometric functions.
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