Convert from Degrees to Radians cos(75)

Problem

cos(75)

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 angle in degrees by the conversion factor to find the angle in radians.

75⋅π/180

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

75/15=5

180/15=12

4. Rewrite the expression using the simplified values.

(5*π)/12

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

cos((5*π)/12)

Final Answer

cos(75)=cos((5*π)/12)

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