Find the Exact Value sec(1.24)

Problem

sec(1.24)

Solution

1. Identify the given value as an angle in radians, as there is no degree symbol.

2. Recall the reciprocal identity for the secant function.

sec(x)=1/cos(x)

3. Substitute the value 1.24 into the identity.

sec(1.24)=1/cos(1.24)

4. Evaluate the cosine of 1.24 radians using a calculator set to radian mode.

cos(1.24)≈0.32479628

5. Calculate the reciprocal to find the final value.

1/0.32479628≈3.0788529

Final Answer

sec(1.24)≈3.0788529

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