What is the value of tan 0?

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

What is the value of tan 0?

Explanation:
Tangent is the ratio of the y-coordinate to the x-coordinate on the unit circle, which is also sine divided by cosine. At angle 0, the point on the unit circle is (1, 0), so sin 0 = 0 and cos 0 = 1. Therefore tan 0 = sin 0 / cos 0 = 0 / 1 = 0. Since the denominator isn’t zero, the value is defined and equals zero. (Note: tangent would be undefined where cosine is zero, such as at 90°.) So the value is 0.

Tangent is the ratio of the y-coordinate to the x-coordinate on the unit circle, which is also sine divided by cosine. At angle 0, the point on the unit circle is (1, 0), so sin 0 = 0 and cos 0 = 1. Therefore tan 0 = sin 0 / cos 0 = 0 / 1 = 0. Since the denominator isn’t zero, the value is defined and equals zero. (Note: tangent would be undefined where cosine is zero, such as at 90°.)

So the value is 0.

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