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The tangent function in trigonometry is defined as the ratio of the opposite side to the adjacent side in a right triangle. It is commonly denoted as tan(theta) = opposite/adjacent. The tangent function is periodic with a period of π and has vertical asymptotes at odd multiples of π/2. It is one of the six trigonometric functions and is used to calculate angles and sides in right triangles.
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Which ratios correctly describes the cosine function?
The cosine function on a right triangle is Adjacent leg divided by the hypotenuse of the triangle.
Sketch a Tangent Functions?
A tangent function is a trigonometric function that describes the ratio of the side opposite a given angle in a right triangle to the side adjacent to that angle. In other words, it describes the slope of a line tangent to a point on a unit circle. The graph of a tangent function is a periodic wave that oscillates between positive and negative values. To sketch a tangent function, we can start by plotting points on a coordinate plane. The x-axis represents the angle in radians, and the y-axis represents the value of the tangent function. The period of the function is 2π radians, so we can plot points every 2π units on the x-axis. The graph of the tangent function is asymptotic to the x-axis. It oscillates between positive and negative values, crossing the x-axis at π/2 and 3π/2 radians. The graph reaches its maximum value of 1 at π/4 and 7π/4 radians, and its minimum value of -1 at 3π/4 and 5π/4 radians. In summary, the graph of the tangent function is a wave that oscillates between positive and negative values, crossing the x-axis at π/2 and 3π/2 radians, with a period of 2π radians.
Is a cosine function continuous?
Yes. The cosine function is continuous. The sine function is also continuous. The tangent function, however, is not continuous.
What does the tangent of infinity equal?
The tangent of infinity is undefined because it is not a real number. The tangent function is defined as the ratio of the side opposite a given angle to the side adjacent to the angle in a right triangle. Since infinity is an abstract concept which has no physical representation, it is not possible to measure the sides of a triangle with an infinite length. Therefore, the tangent of infinity is undefined.
Which trigonometric function is positive in the third quadrant?
The tangent and cotangent functions.
Which ratio describes the tangent function?
The ratio of sine and cosine.
Which equation describes the tangent function for a right triangle?
tan (0) = opposite/adjacent
Is the tangent function periodic?
Yes, the tangent function is periodic.
Which ratios correctly describes the cosine function?
The cosine function on a right triangle is Adjacent leg divided by the hypotenuse of the triangle.
Is tangent an even function?
No.
What is the function which outputs an angle when a tangent value is input?
The inverse tangent, also called the arc-tangent.
What is arc tg?
It is probably arctan or arc tangent, the inverse of the tangent function.
What do the asymptotes represent when you graph the tangent function?
When you graph a tangent function, the asymptotes represent x values 90 and 270.
What is a function whose graph has one or more breaks?
The tan [tangent] function.When a function has two or more brakes, this is not a continuous function, but it can be a continuous function in some intervals such as the tangent does.
What is the reciprocal of a tangent?
It is the cotangent function.
Why does the tangent of a particular angle always have the same value?
Because the tangent is a function of with the angle as its argument.
What is one tangent equal to?
Tangent is a function that can have any real value. Therefore one tangent can take any value in (-∞, ∞).
