Tan 60 value

Trigonometric ratios Trigonometry involves calculating angles and sides in triangles. Labelling the sides The three sides of a right-angled triangle have special names. The hypotenuse ( \(h\) ) is the longest side. It is opposite the right angle. The opposite side ( \(o\) ) is opposite the angle in question ( \(x\) ). The adjacent side ( \(a\) ) is next to the angle in question ( \(x\) ). Three trigonometric ratios Trigonometry involves three ratios - sine , cosine and tangent which are abbreviated to \(\sin\) , \(\cos\) and \(\tan\) . The three ratios are calculated by calculating the ratio of two sides of a right-angled triangle. • \[\sin\) and division by zero is undefined (a calculator will give an error message).

Quick navigation: • • • • Tangent function ( tan(x) ) The tangent is a trigonometric function, defined as the In the graph above, tan(α) = a/b and tan(β) = b/a. A tangent of an angle α is also equal to the ratio between its sine and cosine, so tanα = sinα / cosα. Following from the definition, the function results in an undefined value at certain angles, like 90°, 270°, 460°, and so on. Related trigonometric functions The reciprocal of tangent is the cotangent: cot(x), sometimes written as cotan(x), which is the ratio of the length of the adjacent side to the length of the side opposite to the angle. The inverse of the tangent is the arctangent function: arctan(x). It is useful for finding an angle x when tan(x) is known. How to calculate the tangent of an angle? Our tangent calculator accepts input in degrees or radians, so assuming the angle is known, just type it in and press "calculate". Easy as that. If the angle is unknown, but the lengths of the opposite and adjacent side in a right-angled triangle are known, then the tangent can be calculated from these two measurements. For example, if a = 15 and b = 20, then tan(α) = 15 / 20 = 0.75. Applications of the tangent function The tangent function is used in measuring height of objects located at known distances and has application in flight path and altitude gain calculations. In engineering, it is used to calculate forces of supporting structures, like roof beams. They are also used in robotics to calculate robot arm k...

First, construct a function that describes the steering angle as a function of time. In this case, it seems to be \theta(t) = \begin ...