Trigonometric Functions Worksheets

What Are Trigonometric Functions? The word trigonometry is derived from the Greek words trigonon, meaning triangle, and metron meaning measure. It is defined as the branch of mathematics that establishes the relationship between the angles and sides. Trigonometry is not only used for solving triangles, but many other straight-sided shapes are simplified into a collection of triangles. Moreover, strangles is also related to other branches of mathematics like infinite series, calculus, and complex numbers. Trigonometry helps us in finding the missing sides and angles by using the trigonometric ratios. These ratios are mainly measured in degrees and radians. The three known and commonly used trigonometric functions are sine cosine and tangent, which are abbreviated as sin, cos, and tan, respectively. Apart from these three functions, trigonometry also uses three other functions, namely cosec, sec, and cot. These three other functions are the inverse functions of sine, cosine, and tangent functions. The six trigonometric functions are defined below: Sine: It is defined as the ratio of the opposite side to the hypotenuse of the right-angled triangle. Cosine: It is defined as the ratio of the adjacent side to the hypotenuse of the right-angled triangle. Tangent: It is defined as the ratio of the opposite side to the adjacent of the right-angled triangle. Cosec: It is defined as the ratio of the hypotenuse to the opposite side of the right-angled triangle. Sec: It is defined as the ratio of the hypotenuse to the adjacent side of the right-angled triangle. Cot: It is defined as the ratio of the adjacent side to the opposite side of the right-angled triangle.