How to Find the Value of cos 30° Using the Unit Circle in Trigonometry

cos 30°

√3/ 2

cos 30° is equal to √3/2, which is approximately 0.866.

To understand how to find the value of cos 30°, we need to recall the unit circle. A unit circle is a circle with a radius of 1 unit that is centered at the origin of a coordinate plane.

In trigonometry, the unit circle is used to define the values of the six trigonometric functions for any angle. The trigonometric functions are sine, cosine, tangent, cosecant, secant, and cotangent.

To find the value of cos 30°, we draw a line from the origin to the point on the unit circle where the angle 30° intersects the circle. This line forms the hypotenuse of a right triangle, where the opposite side is equal to 1/2 and the adjacent side is equal to √3/2.

The cosine of an angle is defined as the adjacent side divided by the hypotenuse. Therefore, the value of cos 30° is equal to √3/2.

More Answers:
Discovering the Value of Tangent 45 Degrees: Mathematical Formula and Proof
How to Simplify and Evaluate tan 30° in Fraction and Decimal Forms
Cosine: How cos 45° is equal to √2 / 2 in a right-angled triangle?

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