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Just came across a few questions on related rates and would like some verification on whether I am doing these correctly:

1. Let [tex] \theta [/tex] be an acute angle in a right triangle, and let x and y, respectively be the sides adjacent and opposite of [tex] \theta [/tex]. Suppose that x and y vary with time? How are [tex] \frac{d\theta}{dt} \frac{dx}{dt} \frac{dy}{dt} [/tex] related? Well I set up a relationship where [tex] tan \theta = \frac{y}{x} [/tex] So [tex] \theta = \arctan(\frac{y}{x}) [/tex] Hence [tex]\frac{d\theta}{dt} = d(\arctan(\frac{y}{x}) [/tex] Is this right?

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# Homework Help: Related Rates of a triangle angle

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