## How do you find the reference angle of 8pi 5?

Our Original angle 8Π5 will lie in the fourth quadrant. Hence, our required Reference angle is =2Π−8Π5 and the reference angle we will find.

**What quadrant is 8pi over 5 in?**

The angle is in the fourth quadrant.

**How do you find the reference angle?**

In order to find its reference angle, we first need to find its corresponding angle between 0° and 360°. This is easy to do. We just keep subtracting 360 from it until it’s below 360. For instance, if our angle is 544°, we would subtract 360° from it to get 184° (544° – 360° = 184°).

### What is the reference angle of 35π 4?

Trigonometry Examples Find an angle that is positive, less than 2π , and coterminal with 35π4 35 π 4 . Subtract 2π 2 π from 35π4 35 π 4 . The resulting angle of 27π4 27 π 4 is positive, less than 2π 2 π , and coterminal with 35π4 35 π 4 .

**What is the angle of Pie 5?**

Trigonometry Examples Since π5 is in the first quadrant, the reference angle is π5 .

**What quadrant is 8pi over 3 in?**

The angle is in the second quadrant.

## Is a reference angle?

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.

**What is the reference angle of 16pi 9?**

Find an angle that is positive, less than 2π , and coterminal with −16π9 – 16 π 9 . Add 2π 2 π to −16π9 – 16 π 9 . The resulting angle of 2π9 2 π 9 is positive and coterminal with −16π9 – 16 π 9 . Since 2π9 2 π 9 is in the first quadrant, the reference angle is 2π9 2 π 9 .

**What is the reference angle in degrees for 31π 6?**

The reference angle is 7π6 .

### What is the reference angle for the angle with measure − π4?

Trigonometry Examples Since π4 is in the first quadrant, the reference angle is π4 .

**What is the reference angle of 7π 4?**

The resulting angle of π4 π 4 is positive and coterminal with −7π4 – 7 π 4 . Since π4 is in the first quadrant, the reference angle is π4 .

**What is the value of sin 2 pi by 5?**

0.9511

The value of sin 2pi/5 is equal to the y-coordinate (0.9511). ∴ sin 2pi/5 = 0.9511.

## What is the value of sin pi by 5?

The value of sin 5pi is 0. Sin 5pi can also be expressed using the equivalent of the given angle (5pi) in degrees (900°). Since the sine function is a periodic function, we can represent sin 5pi as, sin 5pi = sin(5pi + n × 2pi), n ∈ Z. ⇒ sin 5pi = sin 7pi = sin 9pi , and so on.

**What is a reference angle?**

What is a reference angle. 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.

**What is the value of sin 8pi by 3?**

Trigonometry Examples Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. The exact value of sin(π3) sin ( π 3 ) is √32 .

### What is the reference angle of θ?

The reference angle of θ is the acute angle θR that the terminal side of θ makes with the x-axis. If θ is in QI, θR = θ If θ is in QII, θR = 180° – θ or π – θ If θ is in QIII, θR = θ – 180° or θ – π

**What is the reference angle for 370?**

Add 360° 360 ° to −10° – 10 ° . The resulting angle of 350° 350 ° is positive and coterminal with −370° – 370 ° .

**What is the reference angle of 9pi 5?**

The resulting angle of π5 π 5 is positive and coterminal with −9π5 – 9 π 5 . Since π5 is in the first quadrant, the reference angle is π5 .

## What is the reference angle for angle 8π 5?

Our Original angle8Π 5 will lie in the fourth quadrant. Hence, our required Reference angle is = 2Π − 8Π 5 and the reference angle we will find. Analyze the graph below to understand how a reference angle is found:

**How do you find the reference angle of 10pi/9?**

π to 3π/2 – third quadrant, so reference angle = angle – π, 3π/2 to 2π – fourth quadrant, so reference angle = 2π – angle. 10π/9 is a bit more than π, so it lies in the third quadrant. In this example, the reference angle is reference angle = angle – π = π/9.

**What is the angle 2pi 3 2 π 3?**

The resulting angle of 2 π 3 2 π 3 is positive, less than 2 π 2 π, and coterminal with 8 π 3 8 π 3. Since the angle 2π 3 2 π 3 is in the second quadrant, subtract 2π 3 2 π 3 from π π. Simplify the result. Tap for more steps… To write π π as a fraction with a common denominator, multiply by 3 3 3 3.

### What is the reference angle of 480°?

Find the reference angle of 480°. The reference angle of 480° is 60°. Arithmetic Calculators has a plenty of calculators like trigonometric functions, suppliment and many more. Check them and use whenever required.