Convert from Degrees to Radians tan(105)

Problem

tan(105)

Solution

1. Identify the conversion factor between degrees and radians.

1=π/180* radians

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. Substitute the simplified values back into the expression for the tangent function.

tan((7*π)/12)

Final Answer

tan(105)=tan((7*π)/12)

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