Math Problem Statement
Find the indicated function value. If it is undefined, say so. cos(270°)
Solution
To find the value of :
- The cosine function gives the x-coordinate of a point on the unit circle corresponding to the given angle.
- is an angle located on the negative y-axis.
- On the unit circle, at , the point is .
Thus, the cosine of is:
Would you like more details or have any other questions? Here are five related questions to expand your understanding:
- What is the sine of ?
- How can we compute cosine values for angles not on the axes?
- What is the value of ?
- Can you explain the difference between sine and cosine in terms of the unit circle?
- How do cosine values change across the four quadrants?
Tip: Remember, the cosine function represents the x-coordinate on the unit circle for any angle, while sine represents the y-coordinate.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Unit Circle
Cosine Function
Formulas
cos(θ) gives the x-coordinate on the unit circle
Theorems
The unit circle theorem
Suitable Grade Level
Grades 9-12