Convert from Degrees to Radians -165

Problem

−165^∘

Solution

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

2. Multiply the given angle in degrees by this conversion factor.

−165^∘⋅π/180^∘

3. Simplify the resulting fraction by finding the greatest common divisor of 165 and 180 which is 15

(−165)/180=(−11⋅15)/(12⋅15)

4. Reduce the expression to its simplest form.

−(11*π)/12

Final Answer

−165^∘=−(11*π)/12

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