# What is the value of sin 3pi by 4?

## What is the value of sin 3pi by 4?

0.7071
Sin 3pi/4 is the value of sine trigonometric function for an angle equal to 3pi/4 radians. The value of sin 3pi/4 is 1/√2 or 0.7071 (approx).

What is the exact value of 3pi 4?

Explanation: For cos 3pi/4, the angle 3pi/4 lies between pi/2 and pi (Second Quadrant). Since cosine function is negative in the second quadrant, thus cos 3pi/4 value = −(1/√2) or -0.7071067. . . Since the cosine function is a periodic function, we can represent cos 3pi/4 as, cos 3pi/4 = cos(3pi/4 + n × 2pi), n ∈ Z.

What is the exact value of sin 5π 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).

### How do you find the trigonometric ratio of 3pi 4?

sin (3π4)=sin(π−π4)=sin(π4)=1√2 . Like wise, cos (3π4)=cos(π−π4)=−cos(π4)=−1√2 .

What degree is 3pi 4?

Therefore by substitution 3×π4 is equal to 3×1804 which equals 135 degrees.

How do you solve sin 3pi?

The value of sin 3pi is equal to the y-coordinate (0). ∴ sin 3pi = 0.

## Is 3pi 4 a rational number?

How many degrees is 5π 4 radians?

ar=αd⋅π180° . In our case: ad=54π⋅180°π=225° .

What is the reference angle for 3π 4?

First Quadrant Second Quadrant Third Quadrant Fourth Quadrant Example 1: The reference angle of θ = 3π/4 and ρ = −3π/4 are both π/4.

### What is 3x 4 radians converted to degrees?

So: multiply by 180 , then divide by π . To convert your problem, the answer would be 135∘ . Hope this helped!

What quadrant does 3pi 4 lie in?

The angle is in the second quadrant.

What is the exact value of sin 3pi 3?

0
The value of sin 3pi is equal to the y-coordinate (0). ∴ sin 3pi = 0.

## Is 3π a real number?

π belongs to the set of irrational numbers. Therefore it is never true that 3π is a rational number.

Is 5π a irrational number?

5π is an irrational number. Explanation: A rational number is a number that is represented in fraction form i.e. p/q form. Repeating decimals are considered rational numbers because they can be written in the ratio form of two integers.

How do you evaluate sin 3pi?

The value of sin 3pi can be calculated by constructing an angle of 3π radians with the x-axis, and then finding the coordinates of the corresponding point (-1, 0) on the unit circle. The value of sin 3pi is equal to the y-coordinate (0). ∴ sin 3pi = 0.

### What is 3pi 4 radians converted to degrees?

What are the sine cosine and tangent of 3pi 4?

The given angle θ = 3 pi over 4 radians lies in the second quadrant because it is less than 𝜋. Therefore, the sine, cosine and tangent of θ = 3 pi over 4 radians are √22,−√22and−1 2 2 , − 2 2 a n d − 1 .

In which quadrant does the terminal side of a 3π 4?

The Point P(3Pi/4) Is In the Second Quadrant.