What is 3pi 2 on the unit circle?

What is 3pi 2 on the unit circle?

Angle 3π2 corresponds to a point with coordinates (0,−1) on a unit circle. Therefore, cos(3π2)=0 .

What degree is 3pi 2?

Degrees and Radians

270 degrees 3pi/2 radians
300 degrees 5pi/3 radians
315 degrees 7pi/4 radians
330 degrees 11pi/6 radians

Is pi 2 the same as 3pi 2?

“Is 3pi/2 the same as -pi/2?” No, it’s not. No, it’s not. For some trigonometric functions, the result of the function is the same for those two numbers.

Is Cos 3pi 2 undefined?

Explanation: csc 3π2 = – 1, sec 3π2 = 1/0 (undefined) and cot 3π2 = 0.

What is on a unit circle?

A unit circle is just a circle that has a radius with a length of 1. But often, it comes with some other bells and whistles. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.

How many radians is 2 pi?

6.2831853072 rad
A radian is defined as the angle of an arc in a circle that is created by enclosing the radius of the circle around its circumference. 2 pi rad is equal to the 6.2831853072 rad.

What quadrant is pi 2 a pi?

The angle is between the third and fourth quadrant.

What is the exact value of cos 3pi 2?

The exact value of cos(π2) cos ( π 2 ) is 0 .

How is 3pi 2?

3π2rad=360×3π22π=270∘ .

What is the tangent in an unit circle?

The tangent function is a periodic function which is very important in trigonometry. The simplest way to understand the tangent function is to use the unit circle. For a given angle measure θ draw a unit circle on the coordinate plane and draw the angle centered at the origin, with one side as the positive x -axis.

How do you find the exact value of sin?

To find the exact value of sin(135), you need the following formula: sin (a+b) = sin a • cos b – cos a + sin b So in this case, it would be sin (135) = sin (90 + 45) = sin 90 • cos 45 + cos 90 • sin 45 = (1 ·(√2)/2) + (0 · (√2)/2) = (√2)/2). cos (135)= – (√2)/2 and sin (135) = (√2)/2. Log in to add a comment.

What is an unit circle?

In mathematics, a unit circle is a circle with unit radius. Frequently, especially in trigonometry, the unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane. The unit circle is often denoted S1; the generalization to higher dimensions is…

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.

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