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Sine, cosine and tangent (often shortened to sin, cos and tan) are each a ratio of sides of a right angled triangle For a given angle θ each ratio stays the same What are the 3 types of trigonometry functions The three basic trigonometric functions are Sine (sin), cosine (cos), and tangent (tan). The reciprocal identities arise as ratios of sides in the triangles where this unit line is no longer. Effortlessly find trigonometric function values (sin, cos, tan, cot) or solve for missing sides or angles in a right triangle using our remarkable tool crafted by experts. We know that, tan θ = opposite side/adjacent side Now, divide both the numerator and denominator with hypotenuse Tan θ = (opposite side/hypotenuse)/ (adjacent. The tangent function (which is usually referred to as tan) is one of the 6 trigonometric functions which is the ratio of the opposite side to the adjacent side There are multiple formulas related. On the unit circle, tan (θ) is the length of the line segment formed by the intersection of the line x=1 and the ray formed by the terminal side of the angle as shown in blue in the figure above. Below is a table of values illustrating some key cosine values that span the entire range of values The tangent of an angle is always the ratio of the (opposite side/ adjacent side) The function is defined in the range from 90 ° ± k · 180 ° to 270 ° ± k · 180 ° and takes. To begin, we know the value of \ (\tan (t)\) for every special angle \ (t\) on the unit circle that we identified for the sine and cosine functions For instance, we know that