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# What is Trigonometry?

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 Sub Topics Trigonometry is a separate branch of mathematics, which deals with triangles. It also studies the relationship between their sides and angles, by defining the separate trigonometric functions. The trigonometric functions are universally adopted in the part of pure mathematics and applied mathematics. The introduction to trigonometry is quite simpler. The basis of its function depends upon right angled triangle. Hence, to make a complete angle, two acute angles are added to the 900. These are known as complementary angles. If the length of the one side is given, then we can easily determine the other two sides of the triangle. Now, we will see what is trigonometry. The ratios of trigonometry are given with the help of the following trigonometric functions. If any one angle is known, suppose angle ‘C’, then we can find the sides of the triangle, where x, y, z are considered as the sides of the triangle. There are six trigonometric functions: sine, cosine, tangent, secant, cosecant, cotangent. Sine function (sin) can be defined as the ratio of altitude (opposite side to the angle) to the hypotenuse (the longest side). Sin C = $\frac{\text{Altitude}}{\text{Hypotenuse}}$. Cosine function (cos) is defined as the ratio of the base to the hypotenuse. Cos C = $\frac{\text{Base}}{\text{Hypotenuse}}$. Tangent function (tan) can be defined as the ratio of altitude to the base. Tan C = $\frac{\text{Altitude}}{\text{Base}}$. Functions such as cosecant (cosec), secant (sec), cotangent (cot) are reciprocal of the above mentioned functions respectively. Cosec C = $\frac{1}{\text{sin C}}$ Sec C = $\frac{1}{\text{cos C}}$ Cot C = $\frac{1}{\text{tan C}}$ = $\frac{\text{cos C}}{\text{sin C}}$ Above trigonometry definition is applied to the angles between 00- 900. There are many fields in which these trigonometric functions are useful such as, in the field of astronomy, navigation, seismology, medical imaging(ultrasound) and many more.