Convert from Degrees to Radians cos(105)

Problem

cos(105)

Solution

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

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

105⋅π/180

3. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 15

105/15=7

180/15=12

4. Rewrite the expression using the simplified values.

(7*π)/12

Final Answer

cos(105)=cos((7*π)/12)

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