What value of sin is 2 3?

What value of sin is 2 3?

For sin 2pi/3, the angle 2pi/3 lies between pi/2 and pi (Second Quadrant). Since sine function is positive in the second quadrant, thus sin 2pi/3 value = √3/2 or 0.8660254. . .

What quadrant is sin theta 2 3?

Precalculus Examples Evaluate arcsin(23) arcsin ( 2 3 ) . The sine function is positive in the first and second quadrants.

What is the value of sin theta by 2?

The half angle formula: sin(θ/2) =± √((1-cosθ)/2). Therefore, (1-cosθ)/2 = (1+. 6)/2 = . 8.

How do you evaluate sin 3pi 2?

The value of sin 3pi/2 can be calculated by constructing an angle of 3π/2 radians with the x-axis, and then finding the coordinates of the corresponding point (0, -1) on the unit circle. The value of sin 3pi/2 is equal to the y-coordinate (-1). ∴ sin 3pi/2 = -1.

Which of the coordinates is equal to cos 2pi 3?

The value of cos 2pi/3 is equal to the x-coordinate (-0.5).

What angle is 3pi 2?

Degrees and Radians

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

How do you solve 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.

Which of the following best explains why cosine of 2pi 3 does not equal cosine of 5pi 3?

Which of the following best explains why cosine of (2pi/3) DOES NOT equal cosine of (5pi/3)? Cosine is negative in the second quadrant and positive in the fourth quadrant.

What is the value of sin 3 theta?

Hence, the answer is nπ,(2n+1)4π.

What is sin theta equal to?

As per the sin theta formula, sin of an angle θ, in a right-angled triangle is equal to the ratio of opposite side and hypotenuse. The sine function is one of the important trigonometric functions apart from cos and tan.

  • August 5, 2022