Filonila Zarrabeitia Teacher. What is the inverse of tangent? The arctan function is the inverse of the tangent function. It returns the angle whose tangent is a given number. Try this Drag any vertex of the triangle and see how the angle C is calculated using the arctan function. Contessa Jacoby Reviewer. What value is cosine? The values of the cosine function are different, depending on whether the angle is in degrees or radians. Geneva Mercuri Reviewer. Is sec 0 undefined?
The secant, sec x, is the reciprocal of the cosine, the ratio of r to x. When the cosine is 0 , the secant is undefined. When the cosine reaches a relative maximum, the secant is at a relative minimum. Xinyuan Recio Reviewer. What is the exact value of cos 45? Answer and Explanation:. Shuangfen Vogler Reviewer. Why is tan 90 undefined? At 90 degrees we must say that the tangent is undefined und , because when you divide the leg opposite by the leg adjacent you cannot divide by zero.
In the third quadrant the hypotenuse extended will now meet the tangent line above the x-axis and is now positive again. Glayds Weingartz Supporter. Where is CSC undefined? Chaima Kolbl Supporter. Which trigonometric functions are never undefined? Values of Quadrantal Angles. Active 7 years, 10 months ago. Viewed 11k times.
Add a comment. Active Oldest Votes. Mark Bennet Mark Bennet Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. Upcoming Events. A unit circle is a circle of radius 1 centered at the origin. Using the unit circle definitions allows us to extend the domain of trigonometric functions to all real numbers.
Refer to the figure below. There are many methods that can be used to determine the value for tangent such as referencing a table of tangents, using a calculator, and approximating using the Taylor Series of tangent. In most practical cases, it is not necessary to compute a tangent value by hand, and a table, calculator, or some other reference will be provided. The following is a calculator to find out either the tangent value of an angle or the angle from the tangent value. Below is a table of tangent values for commonly used angles in both radians and degrees.
From these values, tangent can be determined as. The cosine and sine values of these angles are worth memorizing in the context of trigonometry, since they are very commonly used, and can be used to determine values for tangent. Refer to the cosine and sine pages for their values. Knowing the values of cosine, sine, and tangent for angles in the first quadrant allows us to determine their values for corresponding angles in the rest of the quadrants in the coordinate plane through the use of reference angles.
It is always the smallest angle with reference to the x-axis that can be made from the terminal side of an angle. All other corresponding angles will have values of the same magnitude, and we just need to pay attention to their signs based on the quadrant that the terminal side of the angle lies in.
Below is a table showing the signs of cosine, sine, and tangent in each quadrant. Once we determine the reference angle, we can determine the value of the trigonometric functions in any of the other quadrants by applying the appropriate sign to their value for the reference angle.
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