Whats the derivative of sin^2(theta)?

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SUMMARY

The derivative of sin²(θ) with respect to time, where θ is a function of time, is calculated using the chain rule. The formula is given by d/dt(sin²(θ)) = d/dθ(sin²(θ)) * dθ/dt. This results in the expression 2sin(θ)cos(θ) * (dθ/dt), confirming that the derivative is 2sin(θ)cos(θ) multiplied by the rate of change of θ with respect to time.

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but i need the derivative wrt time where theta depends on time
 
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M. next said:
but i need the derivative wrt time where theta depends on time

Use the chain rule.
$$\frac{d}{dt}sin^2(\theta) = \frac{d}{d\theta}sin^2(\theta)\cdot \frac{d\theta}{dt} = ? $$
 
then it is simply 2sin(theta)cos(theta)*(theta dot)
 

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