Tan30 degree value

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others. They are among the simplest periodic functions, and as such are also widely used for studying periodic phenomena through Fourier analysis. Trigonometry (from Ancient Greek τρίγωνον (trígōnon) 'triangle', and μέτρον (métron) 'measure') is a branch of mathematics concerned with relationships between angles and ratios of lengths. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest-known tables of values for trigonometric ratios (also called trigonometric functions) such as sine. The number π (/paɪ/; spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. The number π appears in many formulas across mathematics and physics. It is an irrational number, meaning that it cannot be expressed exactly as a ratio of two integers, although fractions such as 22/7 are commonly used to approximate it.

You can find the exact value of tan 30 degrees Draw a right triangle with a 30 degree angle Let the side opposite the 30 degree angle be "1". Then by geometry we know the hypotenuse is "2" because " the side opposite the 30 degree angle is one-half the hypotenuse". Using Pythagoras you can find the 2rd side, as follows: 1^2 + x^2 = 2^2 x^2=3 x=sqrt 3 Then the tangent is opposite/adjacent = 1/sqrt3 = sqrt3/3 Cheers, Stan H. Answer by rapaljer(4671) ( You can Construct an equilateral triangle --all angles 60 degrees-- with each side equal to 2, and drop a perpendicular line down the middle of the triangle. This perpendicular line will cut the equilateral triangle into TWO right triangles, and it will cut the base of the equilateral triangle in half. Now, look at the right triangle on the left side and let x = the height of the triangle. Use the Theorem of Pythagoras to solve the right triangle whose legs are 1 and x, and the hypotenuse is 2. Now, since the angle at the top, which was 60 degrees was cut in half by the perpendicular line, that means that this angle in the right triangle is 30 degrees. Remember that . In this triangle from the 30 degree angle, the opposite side is , and the adjacent side is , so . Now that I did all this work explaining how it was derived, maybe you just wanted the answer? If so, skip all the previous explanation, and this is it: . R^2 at SCC

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) I've been using exceljet for some time now, and I just thought I'd say thank you. Whenever I search something related to how to use an excel formula nowadays, I go to exceljet before I go to the actual support.office.com website. I find your content is really well written, your examples helpful, and everything is to the point.

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