The sine function attains its maximum value of 1 at which coordinate?

Maximize your success for the NBCT Mathematics Adolescence and Young Adulthood exam with our tailored quizzes. Benefit from detailed explanations and innovative flashcard techniques. Prepare with confidence!

Multiple Choice

The sine function attains its maximum value of 1 at which coordinate?

Explanation:
The sine function reaches its maximum value of 1 at angles where the y-coordinate on the unit circle is 1, which occurs at π/2 plus any multiple of 2π. In the coordinate pairs, the second value is the sine value. So the point with y = 1 is the maximum point, which is (π/2, 1). The other points have y-values of 0 or -1, which are not the maximum.

The sine function reaches its maximum value of 1 at angles where the y-coordinate on the unit circle is 1, which occurs at π/2 plus any multiple of 2π. In the coordinate pairs, the second value is the sine value. So the point with y = 1 is the maximum point, which is (π/2, 1). The other points have y-values of 0 or -1, which are not the maximum.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy