The sine and cosine rules calculate lengths and angles in any triangle. Part of Maths Geometry and measure Trigonometric ratios Trigonometry involves calculating angles and sides in Learn how to calculate sine, cosine and tangent of any angle using a right-angled triangle. See examples, formulas, graphs and exercises to practice the functions. Find out the difference between sine, cosine and tangent, and the other functions such as secant, cosecant and cotangent. Learn the basic and Pythagorean identities for trigonometric functions, such as sin, cos, tan, cot, sec and csc. Find out how to use them to simplify expressions, calculate angles and solve equations. See examples, formulas and diagrams. Learn how to find sin cos tan values for any angle using formulas, table and examples. Find out the trigonometric ratios of sine, cosine, tangent, cotangent, secant and cosecant for different angles. See how to use the formulas and the chart to solve problems involving sin cos tan values. While sine and cosine are readily identifiable as the projections of the radius on the vertical and horizontal axis, we need to see the definition of the tangent to understand how to find it and visualize it: \tan (\alpha) = \frac {\sin (\alpha)} {\cos (\alpha)} tan(α) = cos(α)sin(α) 3FkEwe.