Solve a problem

Trigonometric valuesTrigonometryHigh schoolabout 0:38

Evaluate cos(60°): animated lesson

A narrated, step-by-step trigonometric values video lesson with captions. Final answer: 1/2 ≈ 0.5.

SpeedLanguage

Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.2 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Worked example
$\cos\left(\frac{60\cdot\pi}{180}\right)$
2. Step by step
1. $\cos\left(\frac{60\cdot\pi}{180}\right)$
  Read the expression
2. $\cos\left(\frac{60\cdot\pi}{180}\right) = \cos\left(\frac{\pi}{3}\right)$
  Simplify exactly
3. $\cos\left(\frac{60\cdot\pi}{180}\right) = \frac{1}{2} \approx 0.5$
  Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction)
3. The answer
$\frac{1}{2} \approx 0.5$
cos((60*pi/180)) = 1/2 ≈ 0.5
4. Check
- Decimal value: 0.5

Transcript

The problem. Here is the problem: cos((60 times pi/180)). Evaluate a numerical expression.

Step by step. Read the expression. Simplify exactly. Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction).

The answer. So the answer is 1 over 2 approximately 0.5. Operations are applied in the standard order: parentheses, exponents, multiplication and division from left to right, then addition and subtraction from left to right.

Check. Decimal value: 0.5.

About trigonometric values

Exact values of sine, cosine, tangent and their reciprocals and inverses.

Evaluate cos(60°): Trigonometric values Step-by-Step Lesson