Table of Contents
What is the sine of PI 2 on the unit circle?
1
The value of sin pi/2 can be calculated by constructing an angle of π/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 pi/2 is equal to the y-coordinate (1). ∴ sin pi/2 = 1.
Why is sin pi 2 undefined?
Correct answer: Trigonometric functions are equal to 0, 1, -1 or undefined when the angle lies on an axis, meaning that the angle is equal to 0, 90, 180 or 270 degrees (0, (pi)/2, pi or 3(pi)/2 in radians.) Trigonometric functions are undefined when they represent fractions with denominators equal to zero.
What is the sin of pi on the unit circle?
Trig Values on the unit circle
| A | B |
|---|---|
| sin pi | 0 |
| cos pi | -1 |
| tan pi | 0 |
| sin 7pi/6 | -1/2 |
What is pi 2 angle?
The circumference of the entire circle is 2π, so it follows that 360° equals 2π radians. Hence, 1° equals π/180 radians.
What is sin pi 2 theta?
sin(π2−θ)=cos(θ) sec(π2−θ)=csc(θ)
Why is sin pi?
What is the value of sin pi? In trigonometry, we use pi (π) for 180 degrees to represent the angle in radians. Hence, sin π is equal to sin 180 or sin π = 0.
What does sin 2 mean?
Sin x^2 is the “sine of (x-squared)”,so it is an ordinary sine function. Sin^2 x is “sine-squared of x” which is a different function from the sine function. Sin x^2 means square of the angle and the sine of it ..i.e. sin 30^2 = sin 900. Sin^2 x = square of the sine of angle x.
What is the sine value of 2 pi over 3?
√3/2
FAQs on Sin 2pi/3 Sin 2pi/3 is the value of sine trigonometric function for an angle equal to 2pi/3 radians. The value of sin 2pi/3 is √3/2 or 0.866 (approx).
What is the value of sin^2(Pi//2)?
#sin^2(pi//2) = 1^2 = 1#. The next term is #cos(pi)#.
How many pi radians are in 360 degrees?
Since the circumference of a circle equals 2 pi times the radius, 2 pi radians equal 360 degrees. An angle of 90 degrees thereby equals or radians, so sin () = 1.
How do you find Sin and Cos from a circle?
One of the simplest ways to look at this is using the unit circle. If we plot a point on the circle that makes the angle θ with the positive x axis in the counter clockwise direction, then the value of cos(θ) is the projection from that point onto the x axis, and the value of sin(θ) is the projection from that point onto the y axis.
What is the sin of sin 1?
By definition, sin () is defined as the ratio of the opposite side to the hypotenuse, for a right triangle whose angle at the origin is . When the angle equals 90 degrees (in the limit), the opposite side equals the hypotenuse, and sin () = 1.