Assignment:
An isosceles triangle has two equal sides of length 10cm. Let theta be the angle between the two equal sides. The Area of the triangle can be expressed as: A(θ) = 50sin(θ)
If theta is increasing at the rate of 10 degrees per minute (π/18 radians per minute)and the derivative of the area is [50cos(θ)]at what value of θ will the triangle have a maximum area?
Provide complete and step by step solution for the question and show calculations and use formulas.