Convert from Degrees to Radians sec(45)

Problem

sec(45^∘)

Solution

1. Identify the conversion factor between degrees and radians, which is π/180^∘

2. Multiply the given angle in degrees by the conversion factor to find the angle in radians.

θ=45^∘⋅π/180^∘

3. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 45

θ=π/4

4. Substitute the radian value back into the trigonometric function.

sec(π/4)

Final Answer

sec(45^∘)=sec(π/4)

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