- #1

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## Homework Statement

I don't know how to make theta so

∅ = theta.

find the slope of the tangent line at

r = sin(6∅) when ∅ = pi/12

## Homework Equations

y=rsin(6∅)

x=rcos(6∅)

r=sin(6∅)

tangent line equation

y-y' = m(x-x')

m = dy/dx

## The Attempt at a Solution

when ∅ = pi/12 then sin(6∅) = 1

so

r=1

x=rcos(6∅) = 0

y = rsin(6∅) = 1

so If I did the previous parts correctly, then I'm now attempting to find the slope (m).

I do not know how to find it.

m = dy/dx =EITHER= (dy/dr) / (dx/dr) or (dy/d∅) / (dx/d∅). Either way I wouldn't know how to take the derivatives if I did know which one to choose.

Am I doing this correctly? Am I on the right track? Thanks :)