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Evaluate without a calculator: sec 30°

1 Answer

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Answer:

sec 30° = 1/cos 30° = 2.

Explanation:

The secant function (sec) is the reciprocal of the cosine function. So, sec(x) = 1/cos(x). The value of cosine at 30 degrees is sqrt(3)/2, and its reciprocal is 2/sqrt(3), which can be simplified to 2. Hence, sec(30°) = 2.

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