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What is the terminal point of 210 degrees?

Author

Chloe Ramirez

Updated on March 12, 2026

What is the terminal point of 210 degrees?

1 Expert Answer
Terminal side of -210 is on quandrant 2. Negative angle goes clockwise. So the sin(-210) equal to 1/2. So for each choice, it should be in quandrant 2 and sin should be 1/2.

Consequently, how do you find the terminal point?

Terminal Point on the Unit Circle. 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.

Similarly, how do you choose the point on the terminal side of an angle? The terminal side will intersect the circle at some point . Depending on the angle, that point could be in the first, second, third, or fourth quadrant. The sine of the angle is equal to the y-coordinate of this point and the cosine of the angle is equal to the x-coordinate of this point.

Keeping this in consideration, which quadrant would `- 210 degrees be in if it was in standard position?

second quadrant

What is a terminal point in trigonometry?

(The relationship between angles (measured in radians) and point on a circle of radius 1.) The point you end up at is called the “terminal point” P(x,y).

What is terminal point of a vector?

A vector is a specific quantity drawn as a line segment with an arrowhead at one end. It has an initial point, where it begins, and a terminal point, where it ends. A vector is defined by its magnitude, or the length of the line, and its direction, indicated by an arrowhead at the terminal point.

What is the terminal point of PI 3?

The terminal point for pi/3 is (1/2, square root of 3/2. Both coordinates are positive because pi/3 is is located in quadrant one on the unit circle chart.

What is the terminal side of an angle?

Terminal side of an angle - trigonometry

In trigonometry an angle is usually drawn in what is called the "standard position" as shown above. The other side, called the 'terminal side' is the one that can be anywhere and defines the angle.

What are the coordinates of the point determined by?

The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane. Recall that the coordinate plane has two axes at right angles to each other, called the x and y axis. The coordinates of a given point represent how far along each axis the point is located.

What is the shortest distance between the starting point and terminal point?

DISPLACEMENT

What are the coordinates of the terminal point determined by t 11 PI 3?

The answer is D. Use reference point for pi/3, 11pi/3 is in the fourth quadrant.

What kind of angle is 210 degrees?

Reflex Angle:

An angle whose measure is more than 180° but less than 360° is called a reflex angle. ∠AOB shown in the above figure is 210°. So, ∠AOB is a reflex angle.

What quadrant does 210 degrees lie?

We will find the trigonometric ratios for the angle 210∘, which lies in the third quadrant. In this quadrant, the sine and cosine ratios are negative and the tangent ratio is positive.

Why do both 150 and 210 have a reference angle of 30?

Since the terminal side of the 150° is only thirty degrees from the (negative) x-axis (being thirty degrees less than 180°, which is the negative x-axis), then the reference angle (again shown by the curved purple line) is 30°. Continuing around counter-clockwise, we can graph 210°. So its reference angle is 30°.

What is standard position degree?

Angles are measured in degrees. One complete rotation is measured as 360°. An angle with its initial side on the x-axis is said to be in standard position.

How many radians is 30?

1 radian is approximately 57.2958°. Consider a half-circle which has radians, which equals to 180°.

How to Convert Angles to Radians.

DegreesRadiansApproximate radians
30°??/60.524
45°??/40.785
60°??/31.047
90°??/21.571

Are reference angles always acute?

Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.

How many 30 angles are there in a 210 angle?

This is a standard angle; so, we start in the East (to the right or the positive x-axis) and then rotate counterclockwise. Next we would calculate the reference angle. 210 degrees is 30 degrees past 180, which means the reference angle is 30 degrees.

What is the least positive Coterminal angle for?

Correct answer:

Explanation: To find a coterminal angle, you must add or subtract . The question is asking for the least positive coterminal angle, so you must add until you reach a positive angle. The angle is still negative, so you must continue.

What does Terminal side 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.

What is the standard position of an angle?

Standard Position: An angle is in standard position if its vertex is located at the origin and one ray is on the positive x-axis. The ray on the x-axis is called the initial side and the other ray is called the terminal side.

What is the point on the terminal side of 135?

The point on the terminal side of 135° is (-1,1). Step-by-step explanation: The point must be lies on the second quadrant because terminal angle is 135°.

What angle is acute?

Acute angles measure less than 90 degrees. Right angles measure 90 degrees.

What is the reference angle for a 240 angle?

60 degrees

What is SEC equal to?

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 terminal arm?

In geometry, an angle is formed by two rays with a common endpoint. The starting position is. called the initial arm and the final position is called the terminal arm of an angle. If the angle. rotation is counterclockwise, then the angle is positive.

Which set of angles has the same terminal arm as 70 degrees?

Answer: B = B ∈ {70° + n*360° I n ∈ Z } where Z is the set of the integer numbers.

What are the six trigonometric functions?

There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

What is the terminal side of 0?

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.

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What is the terminal point of 210 degrees?