Final exam essay
6/2/14
Six Trigonometric functions
The six trigonometric functions are found in a right triangle because they contain a right angle. The measures of the three angles, labeled A, B, and C. we used lower case letters a, b, and c to denote the lengths of the sides opposite of angles A, B, and C respectively. These six trigonometric functions are sine, cosine, and tangent, which are often used the most. The other three are cotangent, secant, and cosecant. However, it is said that in a right triangle the trigonometric ratios the sine, the cosine, and so on are functions of the acute angle. They depend only on the acute angle. For example, each value of sin theta represents the ratio of the opposite side to the hypotenuse, in every right triangle with that acute angle. If angle theta is 28 degrees, so then in every right triangle with a 28 degrees angle, its sides will be in the same ratio. We read it as, Sin. 28 degrees equals .469. This means that the right triangle have an acute angle of 28 degrees, which is half of the opposite angle. On the other hand, these six trigonometric functions have different labels names for each side. For example, the side label lower case “c” has a special name because it is the side opposite of the right angle capital letter “C”. This is called, “hypotenuse”. If we have angle capital letter “B” the side label lower case “b” will be called, “opposite”, while the side label lower case “a” is called, “adjacent”, the side to the angle it is touching. Finally, these six trigonometric functions have ways they are compared to each other. Cosecant, Secant, and Cotangent are the reciprocals of Sine, Cosine, and Tangent. Therefore, the sides that make the equal angles will be proportional. Unfortunately, this is how these six functions are related to a right triangle in Math because they all have a angle that is less than 90 degrees or exactly 90 degrees.