sin(1/2)

Enter angle in degrees or radians:

Calculate sin(1/2)

sin is found using Opposite/Hypotenuse

Determine quadrant:

Since 0 ≤ 1/2 ≤ 90 degrees
it is in Quadrant I

sin, cos and tan are positive.

Determine angle type:

1/2 < 90°, so it is acute

sin(1/2) = 0.017452406417343

Write sin(1/2) in terms of cos

Since 1/2° is less than 90...
We can express this as a cofunction

sin(θ) = cos(90 - θ)

sin(1/2) = cos(90 - 1/2)

sin(1/2) = cos(89)

Excel or Google Sheets formula:

Excel or Google Sheets formula:=SIN(RADIANS(1/2))

Special Angle Values

θ°	θ^rad	sin(θ)	cos(θ)	tan(θ)	csc(θ)	sec(θ)	cot(θ)
0°	0	0	1	0	0	1	0
30°	π/6	1/2	√3/2	√3/3	2	2√3/3	√3
45°	π/4	√2/2	√2/2	1	√2	√2	1
60°	π/3	√3/2	1/2	√3	2√3/3	2	√3/3
90°	π/2	1	0	N/A	1	0	N/A
120°	2π/3	√3/2	-1/2	-√3	2√3/3	-2	-√3/3
135°	3π/4	√2/2	-√2/2	-1	√2	-√2	-1
150°	5π/6	1/2	-√3/2	-√3/3	2	-2√3/3	-√3
180°	π	0	-1	0	0	-1	N/A
210°	7π/6	-1/2	-√3/2	√3/3	-2	-2√3/3	√3
225°	5π/4	-√2/2	-√2/2	1	-√2	-√2	1
240°	4π/3	-√3/2	-1/2	√3	-2√3/3	-2	√3/3
270°	3π/2	-1	0	N/A	-1	0	N/A
300°	5π/3	-√3/2	1/2	-√3	-2√3/3	2	-√3/3
315°	7π/4	-√2/2	√2/2	-1	-√2	√2	-1
330°	11π/6	-1/2	√3/2	-√3/3	-2	2√3/3	-√3

Show Unit Circle

Final Answer

sin(1/2) = 0.017452406417343

Test Your Knowledge?

Angles less than 90° are called _____?
Angles greater than 90° are called ______?
In what Quadrant are sin and cos positive?
In what Quadrant are sin and cos negative?

How does the Trig Measurement Calculator work?

Free Trig Measurement Calculator - Given an angle θ, this calculates the following measurements:
Sin(θ) = Sine
Cos(θ) = Cosine
Tan(θ) = Tangent
Csc(θ) = Cosecant
Sec(θ) = Secant
Cot(θ) = Cotangent
Arcsin(x) = θ = Arcsine
Arccos(x) = θ = Arccosine
Arctan(x) =θ = Arctangent
Also converts between Degrees and Radians and Gradians
Coterminal Angles as well as determine if it is acute, obtuse, or right angle. For acute angles, a cofunction will be determined. Also shows the trigonometry function unit circle
This calculator has 1 input.

What 8 formulas are used for the Trig Measurement Calculator?

sin(θ) = Opposite/Hypotenuse
cos(θ) = Adjacent/Hypotenuse
tan(θ) = Opposite/Adjacent
csc(θ) = 1/sin(θ)
sec(θ) = 1/cos(θ)
cot(θ) = 1/tan(θ)
Coterminal Angles are found by θ ± 360°

For more math formulas, check out our Formula Dossier

What 11 concepts are covered in the Trig Measurement Calculator?

angle: the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
cosecant: the length of the hypotenuse divided by the length of the adjacent side. Also equals 1/sin(θ)
cosine: cos(θ) is the ratio of the opposite side to the hypotenuse.
cotangent: The length of the adjacent side divided by the length of the side opposite the angle. Also equals 1/tan(θ)
coterminal angles: the angles that have the same initial side and share the terminal sides
gradian: defined as one hundredth of the right angle. This is equal to π/200 or 9/10°
radian: a unit of plane angular measurement that is equal to the angle at the center of a circle subtended by an arc whose length equals the radius or approximately 180°/π ~ 57.3 degrees.
secant: the length of the hypotenuse divided by the length of the adjacent side. Also equals 1/cos(θ)
sin: sin(θ) is the ratio of the opposite side of angle θ to the hypotenuse
tangent: the straight line that just touches the curve at that point
trig measurement