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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


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.


Can an absolute value equal a negative?

An absolute value can not be negative.


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

The angle can have any value.


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.


Does a positive value multiplied by a negative value equal a positive?

No, the product of the multiplication of a positive and a negative value is negative.


How do you find logthermic cosine in log book?

Many (most) books of tables listing logs also list cosines. First look up the cosine, and then look up that number in the log lists. The answer is the log-cosine - I hope that's what you mean.


Why cos negative results positive?

It doesn't really. Depending on the exact value of the argument, the cosine function can give both positive and negative results, for a negative argument. As to "why" the sine, or cosine, functions have certain values, just look at the function definition. Take points on a unit circle. The sine represents the y-coordinate for any point on the circle, while the cosine represents the x-coordinate for such a point. (There are also other ways to define the sine and the cosine functions.)


What does a negative add a positive equal?

If the absolute value of the negative is bigger than that of the positive, then the answer is negative. If the absolute value of the negative is the same, then zero. If the absolute value of the negative is smaller, then positive. Absolute value is the value ignoring the sign.