Double angle for sine, cosine, and tangent given trigonometric ratio and quadrant of angle скачать в хорошем качестве

Double angle for sine, cosine, and tangent given trigonometric ratio and quadrant of angle

In this example, we are given a trigonometric ratio of a single angle and the quadrant in which the angle is located. We then need to find the double angle for sine sin, cosine cos, and tangent tan. To do so, we draw a right triangle, label the sides that are given by using sohcahtoa, then use the Pythagorean theorem to find the remaining side. This allows us to find an additional trig ratio. We then substitute into the double-angle formulas with the found ratios for sin(2 theta) and cos(2 theta) and simplify completely. We then use the quotient identity to rewrite tan(2 theta) in terms of sin(2 theta)/cos(2 theta). We substitute in the ratios that we found for those two and simplify. Each part of this process is explained and written out step-by-step. This video contains examples that are from Algebra and Trigonometry, 1st ed, by Abramson, Belloit, Falduto, Gross, Lippman et al. It is an open-source textbook from OpenStax that you may download for free at https://openstax.org/details/books/al.... The text is licensed under the Creative Commons Attribution license. https://creativecommons.org/licenses/...