Convert from Degrees to Radians (3pi)/2

Problem

(3*π)/2

Solution

1. Identify the given value and the conversion goal. The task asks to convert (3*π)/2 from degrees to radians. However, the expression (3*π)/2 is already expressed in radians because it contains the constant π and lacks a degree symbol.

2. Recognize the standard unit. In trigonometry, angles expressed as multiples of π are typically already in radians.

3. Conclude that no conversion is necessary if the input is intended to be a radian measure. If the task implies that the numerical value (3*π)/2 is a degree measurement (i.e., ((3*π)/2)∘, we apply the conversion factor (π* rad)/180

4. Apply the formula for converting degrees to radians: radians=degrees⋅π/180

5. Substitute the value (3*π)/2 into the formula.

radians=(3*π)/2⋅π/180

6. Simplify the resulting expression by multiplying the numerators and denominators.

radians=(3*π2)/360

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

radians=(π2)/120

Final Answer

(3*π)/2∘=(π2)/120

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