# How do you find 11pi 6 on the unit circle?

## How do you find 11pi 6 on the unit circle?

To find the value of sin 11π/6 using the unit circle: Rotate ‘r’ anticlockwise to form 11pi/6 angle with the positive x-axis. The sin of 11pi/6 equals the y-coordinate(-0.5) of the point of intersection (0.866, -0.5) of unit circle and r.

What is the angle 11pi 6 in degrees?

-330°

-11π/6 is equal to -330°.

### What is cosine of pi 6 unit circle?

The value of cos pi/6 is equal to the x-coordinate (0.866). ∴ cos pi/6 = 0.866.

What is the value of the expression tan (- 11pi 6?

What is Tan 11pi/6? Tan 11pi/6 is the value of tangent trigonometric function for an angle equal to 11π/6 radians. The value of tan 11pi/6 is -1/√3 or -0.5774 (approx).

#### What is the exact value of csc 11pi 6?

Trigonometric Function Values of Special Angles

270° 3π/2 -1
300° 5π/3 -2√3/3
315° 7π/4 -√2
330° 11π/6 -2

In which quadrant does the terminal side of an angle 11π 6 located when it is in standard position?

An angle in standard position having a radian measure of θ = -11π/6 has a terminal side that lies in Quadrant IV.

## How do you find the exact value of cos 11pi 4?

The value of cos 11pi/4 can be calculated by constructing an angle of 11π/4 radians with the x-axis, and then finding the coordinates of the corresponding point (-0.7071, 0.7071) on the unit circle. The value of cos 11pi/4 is equal to the x-coordinate (-0.7071). ∴ cos 11pi/4 = -0.7071.

How do you convert from radians to degrees?

From the latter, we obtain the equation 1 radian = (180π)o . This leads us to the rule to convert radian measure to degree measure. To convert from radians to degrees, multiply the radians by 180°π radians .

### What is the reference angle of cos (- pi 6?

Since π6 is 30 degrees on the unit circle, draw a triangle on the where 30 degrees is the reference angle.

Where is cos 0 on the unit circle?

Compute cos(0) by using the unit circle – YouTube

#### What is the value of cos 1125?

0.7071
The value of cos 1125° is equal to the x-coordinate (0.7071). ∴ cos 1125° = 0.7071.

How do you find tangent on the unit circle?

We have an identity tan x = (sin x) / (cos x). So divide the y-coordinate by the x-coordinate of each point on the unit circle to find the corresponding tangent value.

## What is csc?

The cosecant ( csc ⁡ ) (\csc) (csc)
The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

What is pi divided by 6 in degrees?

### How do you find the terminal point of an angle on a unit circle?

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.

What are the coordinates of 210 on the unit circle?

#1: Memorize Common Angles and Coordinates

Angle (Degrees) Angle (Radians) Coordinates of Point on Circle
135° 3 π 4 ( − √ 2 2 , √ 2 2 )
150° 5 π 6 ( − √ 3 2 , 1 2 )
180° π (-1, 0)
210° 7 6 ( − √ 3 2 , − 1 2 )

#### What is the exact value of cos 11pi 12?

-0.9659258.
The value of cos 11pi/12 is -0.9659258. . .. Cos 11pi/12 radians in degrees is written as cos ((11π/12) × 180°/π), i.e., cos (165°).

What is the angle measure of 11pi 4?

I understand perfectly how to find the reference angle for a degree, such as 150 degress = reference angle of 30 degrees, because the 2nd quadrant goes from 90 to 180 degrees, so you simply subtract 150 from 180 to come up with 30. I get that: 11pi/4 = 495 degrees.

## How do you convert radians to degrees without a calculator?

What is 1/6 as a degree?

Equals: 60.00 degrees (°) in angle.

### How do you find Cos pi 6 without a calculator?

Ex: Sine and Cosine Values Using the Unit Circle – Multiples of pi/6 radians

How do you convert COS to radians?

#### What is the value of cos ∅?

The value of cos 0 is 1. Here, we will discuss the value for cos 0 degrees and how the values are derived using the quadrants of a unit circle. The trigonometric functions are also known as an angle function that relates the angles of a triangle to the length of the triangle sides.

How do you find the value of cos on the unit circle?

Unit Circle Finding Trig Values – YouTube

## What is the value of sin (- 1125?

The value of sin 1125° is equal to the y-coordinate (0.7071). ∴ sin 1125° = 0.7071.

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