Question
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Complete the sentence below. The sine, cosine, cosecant, and secant functions have period ___ the tangent and cotangent functions have penod __ The sine, cosine, cosecant, and secant functions have period \( \square \); the tangent and cotangent functions have period \( \square \). (Simplify your answers. Type exact answers, using \( \pi \) as needed.)

Ask by Griffin Norris. in the United States
Feb 11,2025

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Tutor-Verified Answer

Answer

The sine, cosine, cosecant, and secant functions have a period of \( 2\pi \); the tangent and cotangent functions have a period of \( \pi \).

Solution

The sine, cosine, cosecant, and secant functions have a period of \( 2\pi \); the tangent and cotangent functions have a period of \( \pi \). So, the completed sentence is: The sine, cosine, cosecant, and secant functions have period \( 2\pi \); the tangent and cotangent functions have period \( \pi \).

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The sine, cosine, cosecant, and secant functions have period \( 2\pi \); the tangent and cotangent functions have period \( \pi \).

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