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What is the range of the cosine function?

The cosine function, like all of the trigonometric functions, is periodic about the rotation around a circle. Since the cosine is defined as the adjacent/hypotenuse of a right triangle, you can clearly see that its value can never be greater than one or less than -1 since the hypotenuse is always longer than the adjacent side. It turns out that, indeed, the cosine's range is from -1 to 1, written [-1,1].


How do you solve tangent cosine tangent-cosine.?

It isn't clear what you want to solve for. To solve trigonometric equations, it often helps to convert other angular functions (tangent, cotangent, secant, cosecant) into the equivalent of sines and cosines. However, the details of course depend on the specific case.


How do you know that the value of each angle put into a trigonometric function results in exactly one output value?

The value of each angle put into a trigonometric function results in exactly one output value, because that angle represents a single set of x and y coordinates on the ray at the end of the unit circle. Since the trigonometric functions are all defined as the ratio of x and/or y and/or 1, there can only be one output value for each angle. However, the reverse is not true. As an example, tangent is defined as sine over cosine, or y over x. This means that an angle of theta plus 180 degrees generates the same value, because y over x is the same as -y over -x.


What is the period of the cosine function y is equal to 3 cos x?

y=3cos(x) peroid is 2pie


What is an inverse cosine?

The inverse of the cosine is the secant.

Related Questions

Does your cosine like somebody?

A cosine is a trigonometric ratio and is not capable of liking or disliking anything!


The trigonometric ratio that compares the opposite side going to the hypotenuse is a SINE b TANGENT c Cosine?

a) sine


What is the Cosine of 62 degrees?

The cosine of 62 degrees is approximately 0.4695. This value can be found using a scientific calculator or trigonometric tables. Cosine values represent the ratio of the adjacent side to the hypotenuse in a right triangle for the given angle.


Which trigonometric functions are even?

Cosine and secant are even trig functions.


What is a sentence using the word trigonometric?

The sine and cosine are both trigonometric functions. Trigonometric calculations are used in many branches of engineering.


How do you set up the trigonometric ratio used to find the missing quantity?

To set up a trigonometric ratio for finding a missing quantity in a right triangle, first identify the relevant sides and angle. Use the appropriate trigonometric function: sine (opposite/hypotenuse), cosine (adjacent/hypotenuse), or tangent (opposite/adjacent) based on the given information. Write the equation by substituting the known values into the ratio, and then solve for the missing quantity.


What is the cosine of 70 degrees?

The cosine of 70 degrees is approximately 0.342. This value can be found using a scientific calculator or trigonometric tables. In the context of a right triangle, it represents the ratio of the length of the adjacent side to the hypotenuse for an angle of 70 degrees.


What are the trigonometric functions?

sine, cosine, tangent, cosecant, secant and cotangent.


What trigonometric ratios cannot be greater than one?

Sine and cosine.


What is difference of using sine to cosine and tangent?

They are different trigonometric functions!


What is a cosine ratio?

In a right angle triangle it is: cosine ratio = adjacent/hypotenuse


Why do sin and cos differ by one half pie?

In math, the sine and cosine functions are one of the main trigonometric functions. All other trigonometric function can be specified within the expressions of them. The sine and cosine functions are exactly related and can be articulated within conditions of every other. Let us consider A be the angle sine can be identified as the ratio of the side opposite near to the angle toward the hypotenuse. Cosine of an angle is the ratio of the side adjacent to the angle A to the hypotenuse.