What is the standard position of an angle?

An angle is said to be in standard position if the vertex of the angle is at (0, 0) and the initial side of the angle lies along the positive x-axis. If the angle measure is positive, then the angle has been created by a counterclockwise rotation from the initial to the terminal side.

What is math 1330 Section 4 3 unit circle trigonometry?

Math 1330 – Section 4.3 Unit Circle Trigonometry . An angle is in standard position if its vertex is at the origin and its initial side is along the positive xaxis. Positive angles are measured counterclockwise from the initial side. Negative angles are measured clockwise.

How do you find the secant of an angle in standard position?

Let θ be an angle in standard position, with (x, y) a point on the terminal side of θ and r = sqrt (x^2 + y^2)≠ 0? | Socratic Fill in the blank. Let θ be an angle in standard position, with (x, y) a point on the terminal side of θ and r = √x2 + y2 ≠ 0? The secant of an angle is the inverse of the cosine of the angle — that is, secθ = 1 cosθ.

What is a quadrantal angle?

If an angle is in standard position and its terminal side lies along the x or y axis, then we call the angle a quadrantal angle.

What is the reference angle in unit circle trigonometry?

Unit Circle Trigonometry Coordinates of Quadrantal Angles and First Quadrant Special Angles. First, we will draw a right triangle that is based on a 30o reference angle. (When an angle is drawn in standard position, its reference angle is the positive acute angle measured from the x-axis to the angle’s terminal side.

What is the reference angle forθ?

The reference angle forθ is the acute angle of positive measurethat is formed by the terminal side of the angle and the x axis. Example 3:Find the reference angle for each of these angles:

If an angle is in standard position and its terminal side lies along the xor yaxis, then we call the angle a quadrantal angle. 3 You will need to be able to work with reference angles.