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What is the unit circle?
The unit circle is a circle that can be used to find trigonometric functions. The equation of the unit circle is x^2 + y^2 = 1. So it is any circle with radius 1.
How do you graph trigonometric functions with a degree in the parenthese?
Look on a unit circle graph and see what kind of pi it has. For example 90 degrees is pi/2
What is a period of a trigonometry function?
The period of a trigonometric function, since it depends on the angle of a ray centered in a unit circle, is 2 pi radians or 360 degrees.
Is there any use besides food for the brain for Trig identities such as professions which use them?
Trig identities are vital in upper level math. Anything involving the unit circle or triangles is completely based in the trig identities. Trig is used in many other fields, such as architecture, where the identities play a huge role.
How can the unit circle be used to apply trigonometric functions to all real numbers?
The basic idea is that a complete turn around the unit circle has a length of 2 x pi (i.e., approximately 6.28). For numbers larger than 2 x pi, you go that distance around the unit circle, moving around it more than once - and eventually end up on some point on the unit circle. For example, if you go a distance of 3 x pi around the unit circle, that is equivalent of a distance of pi (equal to 180 degrees). For negative numbers, you simply move around the unit circle in the opposite direction.
Examples of the three basic trigonometric ratios?
Given a unit circle (radius = 1) and a counterclockwise angle (theta) between the positive x axis, with the x-y coordinate of the point on the circle that the angle intersects, the three basic trigonometric ratios are... 1. sine (theta) is y 2. cosine (theta) is x 3. tangent (theta) is x / y
Why is cotangent positive in the third quad?
If you are familiar with trigonometric functions defined in terms of the unit circle, the x and y coordinates are negative in the third quadrant. As a result, x/y, the ratio that defines cotangent, is positive.
Can the unit circle have a radius of 2 unit?
If the radius is two. it won't be a unit circle, a unit circle is defined as a circle with radius one.
What is unit circle?
The unit circle is a circle with its center at the origin and a radius of ' 1 '.
How many units in a unit circle?
A unit circle is a circle with radius equal to one.
Who made the unit circle?
It is unknown who created the unit circle. Pythagoras did a lot of work related to the unit circle. In ancient times, Greek, Indian, and Arabian mathematicians used the unit circle.
Why is the unit circle called two pi?
A unit circle is not normally called 2 pi. Because the radius length measure of the unit circle is 1 unit, then the circumference of a unit circle is 2*pi, and its area is pi.
