Trigonometric Functions Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Evaluate cos⁡(π3)\cos\left(\frac{\pi}{3}\right).

Solution

  1. 1
    π3\frac{\pi}{3} radians equals 60°60°.
  2. 2
    From the unit circle: cos⁡(60°)=12\cos(60°) = \frac{1}{2}.

Answer

12\frac{1}{2}
This is one of the key unit circle values to memorize. The cosine of 60°60° equals the sine of 30°30°.

About Trigonometric Functions

Trigonometric functions (sin, cos, tan, etc.) relate angles in right triangles to side ratios and extend to periodic functions of real numbers via the unit circle.

Learn more about Trigonometric Functions →

More Trigonometric Functions Examples

Example 1 easy

Evaluate [formula] and [formula].

Example 2 medium

Find the exact value of [formula].

Example 4 hard

If [formula] and [formula] is in Quadrant II, find [formula] and [formula].

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