Q: What is the cosine of a 60 degree angle?

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As a decimal: 0.866 As a fraction: √(3)/2

60

Fora right angle triangle: cosine angle = adjacent/hypotenuse

The cosine of theta is adjacent over hypotenuse, given a right triangle, theta not being the 90 degree angle, adjacent not being the hypotenuse, and theta being the angle between adjacent and hypotenuse. In a unit triangle, i.e. in a unit circle circumscribed with radius one, and theta and the center of the circle at the origin, cosine of theta is X.

A Quadrantal angle is an angle that is not in Quadrant I. Consider angle 120. You want to find cos(120) . 120 lies in quadrant II. Also, 120=180-60. So, it is enough to find cos(60) and put the proper sign. cos(60)=1/2. Cosine is negative in quadrant II, Therefore, cos(120) = -1/2.

Related questions

cosine(59 degrees) = 0.51504 (rounded)

at a 45 degree angle, or pi/4

45 degree

yes

cos(50) = 0.6428 (rounded)

a 60 degree angle is twice the size of a 30 degree angle.

Cos(65 deg) = 0.4226 approx.

As a decimal: 0.866 As a fraction: √(3)/2

Power in an electric, AC circuit is the product of Volts, Amps, and the Cosine of the angle that separates them. When the Amps lag behind the Volts by 60 degrees, the product of Volts, Amps, and the Cosine of the angle between them provides half the power that would otherwise be available without the 60 degree angle. At 60 degrees, the cosine is 0.5 and at 90 degrees it is zero. So the product of Volts and Amps whenever they are 90 degrees out of phase will result in zero power.

There are 60 minutes of angle in one degree of angle.

a 60-degree angle

The hands of a clock at two o'clock are set at a 60 degree angle.