\(\displaystyle{\cos{{\left({\frac{{\pi}}{{{6}}}}\cdot{2}\pi\right)}}}\) in radians isn't equal to

Addison Fuller

Addison Fuller

Answered question

2022-03-29

cos(π62π) in radians isn't equal to cos(30360) in degrees why?
I put cos(π62π) in radians mode on my calculator and i get -0.9890273166 and then I put cos(30360) in degrees mode and get 1, the answer is the complete opposite of what it should be and in case if you don't know π62π converted to degrees equals 30∗360, so I really need an explanation.

Answer & Explanation

Harry Gibson

Harry Gibson

Beginner2022-03-30Added 13 answers

The formula for Radian-Degree conversion is
θ  in Radiansπ=θ  in Degrees180
so you may write
θ  in Degrees=180πθ  in Radians
so we have
2ππ6  Rad=60π  Deg188.495559  Deg

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