What does it mean when a point is on the terminal side of theta?

When the terminal side of an angle theta, that is in standard position , lies on the coordinate axes. (The angles for which either the x- or y-coordinate of a point on the terminal side of the angle is 0.) Since division by 0 is undefined, certain trig functions are not defined for certain angles.

What does terminal side of an angle mean?

: a straight line that has been rotated around a point on another line to form an angle measured in a clockwise or counterclockwise direction — compare initial side.

Where is the terminal side of angle if?

The initial side is where the angle starts and the terminal side is the ray where the measurement of the angle stops, therefore the terminal side defines the angle and if the vertex is at the origin (0, 0) then the angle will be in Standard Position.

How do you solve terminal side?

Determine the coordinates of a point that lies on a terminal side: draw a right triangle to the x-axis and use Pythagorean Theorem and/or SOHCAHTOA relationships to determine missing side lengths. * For angles greater than 360, you must subtract 360(or multiple) from the angle until the result is between 0 and 360.

Where does the terminal side of angle theta lie?

In this question, we are looking for the quadrants where the cos of 𝜃 is negative. This is true in quadrant II and quadrant III, whereas the cos of 𝜃 is positive in quadrant I and IV. The correct answer, therefore, is second or third. The terminal side of angle 𝜃 could lie in the second or third quadrants.

How do you find the terminal point of an angle?

To find the terminal point on the unit circle, start at (1,0), measure the angle in degree or radian on the circle (move counter clockwise if the angle is positive and clockwise if the angle is negative.) The coordinate of the endpoint is called the terminal point.

Which is the terminal side of the angle?

In this position, the vertex (B) of the angle is on the origin, with a fixed side lying at 3 o’clock along the positive x axis. The other side, called the ‘terminal side’ is the one that can be anywhere and defines the angle. In the figure below, drag point A and see how the position of the terminal side BA defines the angle.

How to find trig functions when terminal side passes through?

Finding Trig Functions if the Terminal Side Passes Through Given Point Here we are going to see finding trig functions if the terminal side passes through given point. Determine the exact values of sin θ, cos θ and tan θ if the terminal arm of an angle in standard position passes through the given point.

When to use positive sign for terminal arm?

Since the terminal arm lies in second quadrant, we have to use positive sign for sin and cosec. Since the terminal arm lies in fourth quadrant, we have to use positive sign for cos and sec.