What is sec formula?

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 .

What is sec theta in unit circle?

The secant as a line segment of the unit circle. Like the other trigonometric functions, the secant can be represented as a line segment associated with the unit circle. The diagram shows the secant for an angle of rotation θ of forty-five degrees (measured anti-clockwise from the positive x-axis).

How do you find the sec of a angle?

The secant of an angle in a right triangle is the value found by dividing length of the hypotenuse by the length of the side adjacent the given angle. The secant ratio is the reciprocal of the cosine ratio.

Where does sec equal 2 on the unit circle?

Secant is the reciprocal of cosine (not sine! never sine!), so it will equal 2 when or (plus or minus 2π).

What is the formula for an unit circle?

The unit circle formula is: Unit Circle Formula (Equation) x 2 +y 2 =1 . Where x and y are the coordinate values.

Where is secant undefined?

The secant is undefined at angle values that represent 1/4 and 3/4 of a full circle. At these angles, the triangle geometrically vanishes into a simple line segment on the Y axis.

What is the significance of the unit circle?

A unit circle is a circle with a radius of 1, and it is used to show certain common angles . Unit circle: Commonly encountered angles measured in radians and degrees.

What is the cosine of a circle?

Cosine Circle. The points where these lines intersect the sides then lie on a circle, known as the cosine circle (or sometimes the second Lemoine circle ). The chords , , and are proportional to the cosines of the angles of , giving the circle its name. In fact, there are infinitely many circles that cut the side line chords in the same proportions.