Convert from Degrees to Radians tan(22.5)

Problem

22.5

Solution

1. Identify the conversion factor between degrees and radians. Since 180 is equal to π radians, the conversion factor is π/180

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

(θ_rad)=22.5⋅π/180

3. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. Note that 22.5 is 45/2

(θ_rad)=45/2⋅π/180

4. Reduce the expression further by noting that 180 divided by 45 is 4

(θ_rad)=1/2⋅π/4

5. Calculate the final product.

(θ_rad)=π/8

Final Answer

22.5=π/8

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