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Compute sec 2.

Ask by Haynes Knight. in the United States
Feb 26,2025

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sec 2 is approximately –2.403.

Solución

Recall that sec θ = 1/cos θ. Therefore, for θ = 2 (radians), we have   sec 2 = 1/cos 2. Using a calculator, cos 2 ≈ –0.4161468365. Hence,   sec 2 ≈ 1/(–0.4161468365) ≈ –2.403. Thus, sec 2 is approximately –2.403 (with 2 interpreted in radians).

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The Deep Dive

To compute sec 2, we first need to remember that secant is the reciprocal of the cosine function. So, sec(2) = 1/cos(2). Using a calculator, cos(2) (where the angle is in radians) is approximately -0.4161. Therefore, sec(2) is about -2.403. So, the answer is sec(2) ≈ -2.403. And remember, secant functions can lead to some fascinating patterns when graphed! They have vertical asymptotes wherever cosine equals zero, creating those eye-catching curves that twist and turn through the coordinate plane. It’s like a rollercoaster ride for math lovers!

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