2020 HSC Math Advanced (1 Viewer)

[lucy083201]

how do i know if the answer should be in radians or degrees?

 

[coolcat6778]

it's always in radians unless they give the domain in degrees or tell u to give answer in degrees

 

[cossine]

View attachment 48847

how do i know if the answer should be in radians or 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