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Why does cosine x equal cosine negative x?

This is going to require some visualization. Cosine is defined as the x-value on the unit circle. If you picture where a point would be, for example, at the angle of pi/6 (30°) you get a coordinate of (√(3)/2 , 1/2) so cosine is √(3)/2 and sine is 1/2 To find a negative angle you take the reflection across the x-axis. Since this does not chance the x-value, only the y, cosine does not change. The coordinates of -(pi/6) (-30°) are (√(3)/2 , -1/2). cos(-x) = cos(x) sin(-x) = - sin(x)■


What is the effect of the phase angle phi on the cosine function cos(wtphi)?

The phase angle phi in the cosine function cos(wtphi) affects the horizontal shift of the graph of the function. A positive phi value shifts the graph to the left, while a negative phi value shifts it to the right.


Why the value of cos positive for negative value of angle?

The cosine of an angle is the adjacent side of the angle of a triangle divided the hypotenuse. If you plot the adjacent side as x on an x -y graph, for negative angles less than 90 degrees the adjacent side is positive and the hypotenuse is always positive, so you get a positive. The cosine is positive int e upper right and lower right quadrants


If the cosine of B is 65 what is the angle?

Cosine cannot have this kind of high value, it ranges from -1 to +1


How is the value of sine and cosine of complementary angles relate?

The sine and cosine of complementary angles are related through the identity (\sin(90^\circ - \theta) = \cos(\theta)) and (\cos(90^\circ - \theta) = \sin(\theta)). This means that the sine of an angle is equal to the cosine of its complementary angle, and vice versa. Therefore, for any angle (\theta), the values of sine and cosine are essentially swapped when considering complementary angles.


What is the arc cosine of pi?

It doesn't exist. The maximum value of the cosine is 1.00, so no angle can have a cosine of (pi), because (pi) is more than 3.


What is the secant of 270 degrees?

The secant of an angle is defined as the reciprocal of the cosine of that angle. At 270 degrees, the cosine is 0, so the secant, which is 1/cos(270°), is undefined. Therefore, the secant of 270 degrees does not have a defined value.


What is 2cosx?

The expression ( 2\cos(x) ) represents twice the cosine of the angle ( x ). The cosine function, denoted as ( \cos(x) ), gives the ratio of the adjacent side to the hypotenuse in a right triangle or the x-coordinate of a point on the unit circle corresponding to the angle ( x ). Therefore, ( 2\cos(x) ) scales the cosine value by a factor of 2, resulting in a value that can range from -2 to 2, depending on the angle ( x ).


Can an absolute value equal a negative?

An absolute value can not be negative.


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.


The ratio of adjacent side to hypotenuse?

A number between 0 and 1. The value depends on the angle betweenthe two sides, and it's called the cosine of that angle.


What will be the angle if the vector have equal magnitude?

The angle can have any value.