\(\sin{x} = \frac{o}{h}\), \(\cos{x} = \frac{a}{h}\) and \(\tan{x} = \frac{o}{a}\) Or: \(s^o_h~c^a_h~t^o_a\). Accurate trigonometric ratios for 0°, 30°, 45°, 60° and 90° Learn how to calculate sine, cosine and tangent of any angle using the formula soh s ine = o pposite / h ypotenuse, soh cah c os = a djacent / h ypotenuse, soh toa t an = o pposite / a djacent. See examples, practice questions and a memory trick for sohcahtoa. Solving for an angle in a right triangle using the trigonometric ratios Sine and cosine of complementary angles Modeling with right triangles The reciprocal trigonometric ratios Unit 2: Trigonometric functions 0/1900 Mastery points Basic Identities: tan( tan( cot( sin( ) ) = cos( ) ) = cot( ) ) = tan( ) cot( sec( csc( Pythagorean Identities cos2( ) + sin2( ) = 1 sec2( ) − tan2( ) = 1 ) ) cos( = sin( ) ) = 1 cos( ) ) = sin( ) csc2( ) − cot2( ) = 1 Double Angle Identities sin(2 ) = 2 sin( ) cos( ) cos(2 ) = 1 − 2 sin2( ) cos(2 ) = 2 cos2( ) − 1 cos(2 tan(2 Sine, cosine and tangent are the primary trigonometry functions whereas cotangent, secant and cosecant are the other three functions. The trigonometric identities are based on all the six trig functions. Check Trigonometry Formulas to get formulas related to trigonometry. Table of Contents: Definition List of Trig Functions Reciprocal Identities 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 use the Pythagoras Theorem and other identities to simplify and calculate trigonometric functions such as sine, cosine and tangent. See examples, diagrams and formulas for right triangles, cosecants, secants, cotangents and more. Trigonometric functions and their reciprocals on the unit circle. All of the right-angled triangles are similar, i.e. the ratios between their corresponding sides are the same. For sin, cos and tan the unit-length radius forms the hypotenuse of the triangle that defines them. 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 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. VlCo.