Tan 30 value

The TAN function returns the tangent of an angle provided in radians. In geometric terms, the tangent of an angle returns the ratio of a right-triangle's opposite side over its adjacent side. For example, the tangent of PI()/4 (45°) returns the ratio of 1.0. =TAN(PI()/4) // Returns 1.0 Using Degrees To supply an angle to TAN in degrees, multiply the angle by PI()/180 or use the RADIANS function to convert to radians. For example, to get the TAN of 60 degrees, you can use either formula below: =TAN(60*PI()/180) =TAN(RADIANS(60)) Explanation The graph of the tangent function, shown above, visualizes the output of the function for angles from 0 to a full rotation corresponding to the range [0, 2π]. The function has two vertical asymptotes within the range [0, 2π] where the output diverges to infinity. The tangent function can be equivalently defined in terms of SIN and COS: =TAN(θ) = SIN(θ)/COS(θ)

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...

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...

The TAN function returns the tangent of an angle provided in radians. In geometric terms, the tangent of an angle returns the ratio of a right-triangle's opposite side over its adjacent side. For example, the tangent of PI()/4 (45°) returns the ratio of 1.0. =TAN(PI()/4) // Returns 1.0 Using Degrees To supply an angle to TAN in degrees, multiply the angle by PI()/180 or use the RADIANS function to convert to radians. For example, to get the TAN of 60 degrees, you can use either formula below: =TAN(60*PI()/180) =TAN(RADIANS(60)) Explanation The graph of the tangent function, shown above, visualizes the output of the function for angles from 0 to a full rotation corresponding to the range [0, 2π]. The function has two vertical asymptotes within the range [0, 2π] where the output diverges to infinity. The tangent function can be equivalently defined in terms of SIN and COS: =TAN(θ) = SIN(θ)/COS(θ)