Domain of tangent function
[DOC File]Math II Unit 6
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The graph of the tangent function . The period of the tangent function is π. The domain of the tangent function is , where k is an integer. The range of the tangent function is all real numbers, With the tangent function, like the sine and cosine functions, horizontal stretches/compressions are distinct from vertical stretches/compressions.
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Find an equation of the line tangent to the circle at the point (3, 4) in slope intercept form. 3) Graph the function shown below. Also indicate any key points and state the domain and range. 4) Write a piecewise formula for the function shown. Include the domain of each piece! 5) Graph the function and indicate asymptote(s).
[DOC File]7-3 The Sine and Cosine Functions
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Use the following graphs to determine the limited domains on the tangent function used to insure the inverse is a function. Mark the axes that represent the angle measure. We use the names sin-1, cos -1 , and tan-1 or arcsin, arccos, and arctan to represent the inverse of these functions on the limited domains you explored above.
[DOC File]LESSON X - Mathematics & Statistics
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The domain of y = cos-1x is [-1, 1] and the range is . It helps to think of the range of y = cos-1x as being along the top half of the unit circle, which is traced out as angles range from 0 to . If you restrict the domain of y = tan x to the interval as shown below, the restricted function is one-to-one. The . inverse tangent function
Properties of The Six Trigonometric Functions
The tangent function does not have an amplitude, the period is , and the phase shift is units to the right if or is units to the left if . Theorem The tangent function is an odd function. That is, for all in the domain of the function. A sketch of the graph of the tangent function can be obtained from the x-intercepts and vertical asymptotes of ...
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tangent of : tan = y/x ... Since .5 is in the domain of the arctan and these function are inverse operations the answer is .5 4) Cos-1 (Cos 240o) = x Since 240o is not in the range of arccos, we need to do this in two steps. Cos 240o = -.5, thus Cos-1 (-.5) = 120o . Remember, for the inverse cosine, the answer has to come out in the first or ...
[DOCX File]ME-T1 Inverse trigonometric functions Y11
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The domain of the tangent function is , where k is an integer The range of the tangent function is all real numbers, or With the tangent function, like the sine and cosine functions, horizontal stretches/compressions are distinct from vertical stretches/compressions.
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