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the area of a triangle with sides of length a and b and contained angle θ is A=(1/2)absinθ

the area of a triangle with sides of length a and b and contained angle θ is A=(1/2)absinθ
 
(a)if a=2cm, b=3cm, and θ increases at a rate of 0.2 rad/min, how fast is the area increasing when θ=π/3?
 
theres few set up like this but i couldn't find a quality example in my book so i just need help with this one to do the rest.
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1 Answer

A = 1/2 a b sin T
 
dA= 1/2 a b cos T dT
 
   = 1/2 *2*3* cos(pi/3)*.2
= 0.3