To convert a negative angle to a positive, we add 2 π /displaystyle 2/pi 2π to the it.

Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Add 360° to find a positive coterminal angle. Subtract 360° to find a negative coterminal angle. Angles that measure 240° and –480° are coterminal with a –120° angle.

An angle is a measure of rotation. Rotation is measured from the initial side to the terminal side of the angle. Positive angles (Figure a) result from counterclockwise rotation, and negative angles (Figure b) result from clockwise rotation.

Subtract 2π 2 π from 7π3 7 π 3 . The resulting angle of π3 π 3 is positive, less than 2π 2 π , and coterminal with 7π3 7 π 3 . Since π3 is in the first quadrant, the reference angle is π3 .

For each given angle, find a coterminal angle with measure of θ such that 0° ≤ θ < 360°. Write 395° in terms of 360°. Write 525° in terms of 360°. So, the coterminal angle of 525° is 165°….Share this page:

a solution every 2pi

sin(v) = 1 implies v = pi/2 , but but pi/2 + 2*pi or pi/2 + 4*pi will do as well since it is 2pi-preiodic. k represents any number, that is k = 0,+-1,+-2,+-3 etc.

k in means a number of revolutions. Specifically, the track is 360 degrees long. If you go 1080 = 360*3, you go around three times and come to the same point. It just tells you that the circle is cyclic, and 360 is the measure of being cyclic.

Sine Function : f(x) = sin (x) x intercepts: x = k pi , where k is an integer. intervals of increase/decrease: over one period and from 0 to 2pi, sin (x) is increasing on the intervals (0 , pi/2) and (3pi/2 , 2pi), and decreasing on the interval (pi/2 , 3pi/2).

Sine and cosine functions do not have asymptotes.

Cosine and secant are even; sine, tangent, cosecant, and cotangent are odd. Even and odd properties can be used to evaluate trigonometric functions. See (Figure).

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

Geometrically, assuming you can get nice and accurate graphs, a function f(x) is even if the graph of y=f(x) is symmetric about the y axis; the function is odd if it is symmetric about the origin. It is periodic if it “repeats” after a finite length (think about the graph of y=sin(x)).

Sine is an odd function, and cosine is an even function. You may not have come across these adjectives “odd” and “even” when applied to functions, but it’s important to know them. A function f is said to be an odd function if for any number x, f(–x) = –f(x).

Odd numbers can’t be divided into two groups. Number 5 is often divided into two groups of two and one group of 1. Odd numbers always end with numbers like 1, 3, 5, 7, or 9. All these numbers like 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 are odd numbers.

The sine function is an odd function. Recall this means that if (x,y) is on the graph of the function so too is the point (-x,-y). Since y corresponds to sin(x) then this means that sin(-x) = – sin(x).

The sine, cosecant, tangent, and cotangent functions are symmetric about the origin. Graphs that are symmetric about the origin represent odd functions.