Question

Let θ (in radians) be an acute angle in a right triangle and let x and y, respectively, be the lengths of the sides adjacent to and opposite θ. Suppose also that x and y vary with time. At a certain instant x=1 units and is increasing at 3 unit/s, while y=6 and is decreasing at 1/8 units/s. How fast is θ changing at that instant?

Answer 1

Answer:

Let θ (in radians) be an acute angle in a right triangle and let x and y, respectively, be the lengths of the sides adjacent to ...