![]() ![]() There is no need to discuss the meaning of radians now, but students will see radians later in this course. (Note: if students don’t get 0.643, check the mode of the calculator. The ratio of adjacent leg divided by hypotenuse is called cosine. Then identify that we are looking for the length of the hypotenuse. First, identify that we have an angle measure and the length of the adjacent leg. Scientific calculators can display the ratio for any angle, even ones not included in the table. ![]() “Cosine, sine, and tangent work like functions where the input is the measure of an angle and the output is a ratio. In order to distinguish between two legs, we need a reference point. So the word trigonometric comes from ancient words meaning triangle measurement.” In a right triangle, there are two legs and a hypotenuse. “The word trigonometric comes from the ancient roots of trigon (think about what pentagon or hexagon mean) and metric (like measure). These three names describe trigonometric ratios. Label the columns of the right triangle table with the corresponding trigonometric function names.” The column called 'opposite leg divided by the adjacent leg' is named tangent. ![]() The column called 'opposite leg divided by the hypotenuse' is named sine. See Trapezoid median: Area: The usual way to calculate the area is the average base length times. Median: The median of a trapezoid is a line joining the midpoints of the two legs. Tell students, “The right triangle table is useful, but what if the angle is not a multiple of 10 degrees? There must be a way to move from estimating to calculating. The name of the column in the right triangle table, 'adjacent leg divided by the hypotenuse,' is long, so mathematicians call this ratio cosine. Altitude: The altitude of a trapezoid is the perpendicular distance from one base to the other. ![]()
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