Find the Exact Value sec(60 degrees )

Problem

sec(60)

Solution

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

sec(θ)=1/cos(θ)

2. Recall the exact value of cos(60) from the unit circle or a special 30−60−90 right triangle.

cos(60)=1/2

3. Substitute the value of cos(60) into the secant identity.

sec(60)=1/(1/2)

4. Simplify the fraction by multiplying by the reciprocal.

sec(60)=2

Final Answer

sec(60)=2

Want more problems? Check here!