Question

State the range of the sine and cosine functions.

   State the range of the sine and cosine functions.

Precalculus

Jay Abramson 1st Edition

Chapter 5, Problem 373

Instant Answer

Solved by Expert Amrita Bhasin

01/17/2020

Step 1

The unit circle is a circle with a radius of 1, centered at the origin (0,0) of the coordinate plane. Show more…

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State the range of the sine and cosine functions.

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Key Concepts

Sine Function

The sine function is a fundamental trigonometric function that outputs the y-coordinate of the point on the unit circle corresponding to a given angle, and it is bounded by its maximum and minimum values. This inherent property means its range is limited to values between -1 and 1.

Cosine Function

The cosine function is another essential trigonometric function that yields the x-coordinate of the corresponding point on the unit circle for a given angle. Like the sine function, the cosine function is similarly confined, so its range of outputs is also from -1 to 1.

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