lucy083201
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how do i know if the answer should be in radians or degrees?
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2020 HSC Math Advanced (1 Viewer)
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how do i know if the answer should be in radians or degrees?
coolcat6778
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it's always in radians unless they give the domain in degrees or tell u to give answer in degrees
Radians will always be used in the context of calculus.
Thm derivative of sin(x) in degrees:
d/dx sin(x) = pi/180*cos(x)
Thm derivative of sin(x) in radians:
d/dx sin(x) = cos(x)
Notice how by defining radians so that pi radians = 180 degrees, we no longer need to deal with the pi/180 coefficient.
Note: Proof of both theorem are likely outside scope of high school mathematics. You can accept the theorems at face value
funnytomato
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+1
Some school assessments would text stuff like this:
What is the integration of Integration of sin(x°) dx.
Integration of $\int \sin(x^{\circ}) \operatorname{d}x$. The '$x$' is ok but this confuses me by creating '$x^{\circ}$'.This is not the differential like to solve it by chain rule. I thought the ...