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We derive these special triangles by using the Cartesian Plan with a circle with centre at the origin and with radius 2. Review Exercises; Practice Test; 7 Trigonometric Identities and Equations. Introduction to Trigonometric Functions; Domain and Range of Trigonometric Functions; Inverse Trigonometric Functions; Setting Up Trigonometric Models; Transformations of Trigonometric Functions; Vectors and Matrices. Introduction to the trigonometric functions General The six trigonometric functions sine sinHzL, cosine cosHzL, tangent tanHzL, cotangent cotHzL, cosecant cscHzL, and secant secHzL are well known and among the most frequently used elementary functions. Consider a right-angled triangle, where the longest side is called the hypotenuse, and the sides opposite to the hypotenuse are referred to as the adjacent and opposite sides. Sine, cosine, and tangent are 3 important trigonometric functions and are abbreviated as sin, cos and tan. Review : Inverse Functions – A quick review of inverse functions and the notation for inverse functions. Let us see how are these ratios or functions, evaluated in case of a right-angled triangle. Vectors. In this video we introduce special angles of which the trigonometric ratios can be derived without the use of a calculator. The tangent (tan) of an angle is the ratio of the sine to the cosine: Solving Basic Trigonometric Equations In this video we solve trigonometric equations. 10. These are sometimes abbreviated sin(θ) andcos(θ), respectively, where θ is the angle, but the parentheses around the angle are often omitted, e.g., sin θ andcos θ. Vector Magnitude, Direction, and Components; Angle Between Vectors; Vector Addition, Subtraction, and Scalar Multiplication Key Terms; Key Equations; Key Concepts; Exercises. One of the goals of this book is to prepare you for a course in calculus by directing your attention away from particular values of a function to a study of the trigonometric functions. Review : Functions – Here is a quick review of functions, function notation and a couple of fairly important ideas about functions. Trigonometry is an important introduction to calculus, where one stud­ ies what mathematicians call analytic properties of functions. 6.2 Graphs of the Other Trigonometric Functions; 6.3 Inverse Trigonometric Functions; Chapter Review. List of trigonometric identities 2 Trigonometric functions The primary trigonometric functions are the sine and cosine of an angle.