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

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Study for the NBCT Mathematics AYA Component 1 exam. Utilize flashcards and multiple-choice questions with detailed explanations for each question. Prepare efficiently for success in your teaching certification journey!

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.

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