Math Problem Statement

Find the indicated function value. If it is undefined, say so. cos(270°)

Solution

To find the value of cos(270)\cos(270^\circ):

  1. The cosine function gives the x-coordinate of a point on the unit circle corresponding to the given angle.
  2. 270270^\circ is an angle located on the negative y-axis.
  3. On the unit circle, at 270270^\circ, the point is (0,1)(0, -1).

Thus, the cosine of 270270^\circ is:

cos(270)=0\cos(270^\circ) = 0

Would you like more details or have any other questions? Here are five related questions to expand your understanding:

  1. What is the sine of 270270^\circ?
  2. How can we compute cosine values for angles not on the axes?
  3. What is the value of cos(90)\cos(90^\circ)?
  4. Can you explain the difference between sine and cosine in terms of the unit circle?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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