Trigonometric Functions Formulas Graphs Examples Values

By sditcompany On Sep 21, 2024 Last updated

Trigonometric Functions Formulas Graphs Examples Values The graphs of trigonometric functions have the domain value of θ represented on the horizontal x axis and the range value represented along the vertical y axis. the graphs of sinθ and tanθ pass through the origin and the graphs of other trigonometric functions do not pass through the origin. the range of sinθ and cosθ is limited to [ 1, 1]. Solved examples on trigonometric functions. example 1: find the values of sin 45°, cos 60° and tan 60°. solution: using the trigonometric table, we have. sin 45° = 1 √2. cos 60° = 1 2. tan 60° = √3. example 2: evaluate sin 105° degrees. solution: sin 105° can be written as sin (60° 45°) which is similar to sin (a b).

Trigonometric Functions Formulas Graphs Examples Values Definition: trigonometric functions. let p = (x, y) be a point on the unit circle centered at the origin o. let θ be an angle with an initial side along the positive x axis and a terminal side given by the line segment op. the trigonometric functions are then defined as. sinθ = y. cscθ = 1 y. cosθ = x. secθ = 1 x. The trigonometric function can be described as being even or odd. odd trigonometric functions: a trigonometric function is said to be an odd function if f( x) = f(x) and symmetric with respect to the origin. even trigonometric functions: a trigonometric function is said to be an even function, if f( x) = f(x) and symmetric to the y axis. we. There are three reciprocal trigonometric functions, making a total of six including cosine, sine, and tangent. the reciprocal cosine function is secant: secθ = 1 cosθ. the reciprocal sine function is cosecant, cscθ = 1 sinθ. the reciprocal tangent function is cotangent, expressed two ways: cotθ = 1 tanθ or cotθ = cosθ sinθ. Trigonometric functions are functions related to an angle. there are six trigonometric functions: sine, cosine, tangent and their reciprocals cosecant, secant, and cotangent, respectively. sine, cosine, and tangent are the most widely used trigonometric functions. their reciprocals, though used, are less common in modern mathematics.

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