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Simplify sec(0)

Problem

sec(0)

Solution

  1. Identify the definition of the secant function in terms of the cosine function.

sec(x)=1/cos(x)

  1. Substitute the given value x=0 into the definition.

sec(0)=1/cos(0)

  1. Evaluate the cosine of 0 using the unit circle or trigonometric properties.

cos(0)=1

  1. Simplify the resulting fraction.

sec(0)=1/1

sec(0)=1

Final Answer

sec(0)=1


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