# What is the reference angle for 5pi 4?

## What is the reference angle for 5pi 4?

1. 5π/4= 4π/4 + π/4 = π+π/4 Hence, the reference angle is π/4 fro the x-axis. Moreover, 5π/4 is in the third quadrant.

## How do you find the reference angle?

How to find the reference angle for degrees?

1. 0° to 90°: reference angle = angle ,
2. 90° to 180°: reference angle = 180° – angle ,
3. 180° to 270°: reference angle = angle – 180° ,
4. 270° to 360°: reference angle = 360° – angle .

Apr 12, 2022

## What quadrant is 5pi over 4 in?

The angle is in the third quadrant.

## What is the reference number for 5pi?

The reference number equals pi – the terminal point. For example, if your terminal point = 5 pi / 6, your reference number = pi / 6. Pi would equal 6 pi / 6, and 6 – 5 = 1 or 1 pi / 6.

## What is tangent of 5pie 4?

1 The value of tan 5pi/4 is 1. Tan 5pi/4 radians in degrees is written as tan ((5π/4) × 180°/π), i.e., tan (225°).

## What is the exact value of sin 5pi 4?

-0.7071 What is Sin 5pi/4? Sin 5pi/4 is the value of sine trigonometric function for an angle equal to 5pi/4 radians. The value of sin 5pi/4 is -(1/√2) or -0.7071 (approx).

## What is the reference angle for 5pi 3?

The resulting angle of π3 π 3 is positive and coterminal with −5π3 – 5 π 3 . Since π3 is in the first quadrant, the reference angle is π3 .

## What is the reference angle of 525?

Trigonometry Examples Find an angle that is positive, less than 360° , and coterminal with 525° . Subtract 360° 360 ° from 525° 525 ° . The resulting angle of 165° 165 ° is positive, less than 360° 360 ° , and coterminal with 525° 525 ° .

## What is cos 5pi 4 in radians?

The value of cos 5pi/4 is -0.7071067. . .. Cos 5pi/4 radians in degrees is written as cos ((5π/4) × 180°/π), i.e., cos (225°).

## What is the reference angle for 5pie 3?

The resulting angle of π3 π 3 is positive and coterminal with −5π3 – 5 π 3 . Since π3 is in the first quadrant, the reference angle is π3 .

## What is 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.

## How do you find the exact value of cos 5pi 4?

The value of cos 5pi/4 can be calculated by constructing an angle of 5π/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 5pi/4 is equal to the x-coordinate (-0.7071). ∴ cos 5pi/4 = -0.7071.

## Is tan 180 undefined?

Tan 180 degrees is the value of tangent trigonometric function for an angle equal to 180 degrees. The value of tan 180° is 0.

## How do you evaluate 5pi 4?

Sin 5pi/4 is the value of sine trigonometric function for an angle equal to 5pi/4 radians. The value of sin 5pi/4 is -(1/√2) or -0.7071 (approx).

## What is the reference angle of 435?

Subtract 360° 360 ° from 435° 435 ° . The resulting angle of 75° 75 ° is positive, less than 360° 360 ° , and coterminal with 435° 435 ° .

## What is the reference angle for 292 Brainly?

The resulting angle of 68° 68 ° is positive and coterminal with −292° – 292 ° . Since 68° is in the first quadrant, the reference angle is 68° .

## How do you find the value of cos 5pi 4?

The value of cos 5pi/4 can be calculated by constructing an angle of 5π/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 5pi/4 is equal to the x-coordinate (-0.7071). ∴ cos 5pi/4 = -0.7071.

## What is the sine value of 5pi 3?

The exact value of sin(π3) sin ( π 3 ) is √32 .

## What is the reference angle of 120?

Since the angle 120° is in the second quadrant, subtract 120° from 180° .

## 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.

## What is value of sin 5pi 4?

-0.7071 Sin 5pi/4 is the value of sine trigonometric function for an angle equal to 5pi/4 radians. The value of sin 5pi/4 is -(1/√2) or -0.7071 (approx).

## What are the sine and cosine of 5pi 4?

The value of cos 5pi/4 is -0.7071067. . .. Cos 5pi/4 radians in degrees is written as cos ((5π/4) × 180°/π), i.e., cos (225°).

## How do you find reference angle in radians?

If angle A is in quadrant II then the reference angle A r = 180° – A if A is given degrees and A r = π – A if A is given in radians. 3. If angle A is in quadrant III then the reference angle A r = A – 180° if A is given degrees and A r = A – π if A is given in radians.

## What is the reference angle for 312 Brainly?

Algebra Examples Add 360° 360 ° to −312° – 312 ° . The resulting angle of 48° 48 ° is positive and coterminal with −312° – 312 ° . Since 48° is in the first quadrant, the reference angle is 48° .