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].
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.
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.
y=3cos(x) peroid is 2pie
The inverse of the cosine is the secant.
A cosine is a trigonometric ratio and is not capable of liking or disliking anything!
a) sine
Cosine and secant are even trig functions.
The sine and cosine are both trigonometric functions. Trigonometric calculations are used in many branches of engineering.
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.
sine, cosine, tangent, cosecant, secant and cotangent.
Sine and cosine.
They are different trigonometric functions!
In a right angle triangle it is: cosine ratio = adjacent/hypotenuse
A TRIGONOMIC ratio is a ratio between either the opposite side of an angle and the hypotenuse of a triangle (sine), the adjacent side of an angle and the hypotenuse of a triangle (cosine), or the opposite side of an angle and the adjacent side (tangent). Mnemonic: SOH CAH TOA S= sine C= cosine T= tangent O= opposite A= adjacent H= hypotenuse
A reciprocal trigonometric function is the ratio of the reciprocal of a trigonometric function to either the sine, cosine, or tangent function. The reciprocal of the sine function is the cosecant function, the reciprocal of the cosine function is the secant function, and the reciprocal of the tangent function is the cotangent function. These functions are useful in solving trigonometric equations and graphing trigonometric functions.
The ratio is called the tangent of the angle. (also equal to sine/cosine)