Asked by Raj
let θ(in radians) be an acute angle in a right triangle, and let x and y, respectively, be the lenghts of the sides adjacent and opposite θ. suppose also that both x and y vary with time
how are dθ/dt, dx/dt, and dy/dt related?
how are dθ/dt, dx/dt, and dy/dt related?
Answers
Answered by
Steve
tan θ = y/x
sec<sup>2</sup>θ dθ/dt = 1/x dy/dt - y/x<sup>2</sup> dx/dt
sec<sup>2</sup>θ dθ/dt = 1/x dy/dt - y/x<sup>2</sup> dx/dt
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