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Advantages of having radian measure? - Answers

There are many; for example,sin(x) = x - x^3/3! + x^5/5^ - x^7/7! ...cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...are valid only when angles are measured in radians.The derivatives of trigonometric functionsd/dx sin(x) = cos(x),d/dx cos(x) = -sin(x) as well as the derivatives of other trigonometric ratios are valid (in relatively simple forms) only if defined in radians. The same applies to integrals of these functions.



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Advantages of having radian measure? - Answers

https://math.answers.com/math-and-arithmetic/Advantages_of_having_radian_measure

There are many; for example,sin(x) = x - x^3/3! + x^5/5^ - x^7/7! ...cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...are valid only when angles are measured in radians.The derivatives of trigonometric functionsd/dx sin(x) = cos(x),d/dx cos(x) = -sin(x) as well as the derivatives of other trigonometric ratios are valid (in relatively simple forms) only if defined in radians. The same applies to integrals of these functions.



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https://math.answers.com/math-and-arithmetic/Advantages_of_having_radian_measure

Advantages of having radian measure? - Answers

There are many; for example,sin(x) = x - x^3/3! + x^5/5^ - x^7/7! ...cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...are valid only when angles are measured in radians.The derivatives of trigonometric functionsd/dx sin(x) = cos(x),d/dx cos(x) = -sin(x) as well as the derivatives of other trigonometric ratios are valid (in relatively simple forms) only if defined in radians. The same applies to integrals of these functions.

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      There are many; for example,sin(x) = x - x^3/3! + x^5/5^ - x^7/7! ...cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...are valid only when angles are measured in radians.The derivatives of trigonometric functionsd/dx sin(x) = cos(x),d/dx cos(x) = -sin(x) as well as the derivatives of other trigonometric ratios are valid (in relatively simple forms) only if defined in radians. The same applies to integrals of these functions.

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