Find the Exact Value sec(450)

Problem

sec(450^∘)

Solution

1. Identify the angle and its periodicity. Since the secant function has a period of 360^∘ we can find a coterminal angle by subtracting 360^∘ from 450^∘

450^∘−360^∘=90^∘

2. Rewrite the expression using the coterminal angle.

sec(450^∘)=sec(90^∘)

3. Apply the definition of the secant function in terms of the cosine function.

sec(90^∘)=1/cos(90^∘)

4. Evaluate the cosine of 90^∘

cos(90^∘)=0

5. Determine the value of the fraction. Since the denominator is zero, the expression is undefined.

1/0⇒undefined

Final Answer

sec(450^∘)=undefined

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