Question

1a) 

Suppose a point has polar coordinates (-6, 7π/6), with the angle measured in radians.

Find two additional polar representations of the point.

Write each coordinate in simplest form with the angle in [-2π, 2π].

1b)

A ceiling fan has 14 -inch blades (so the radius of the circular fan is 14 inches). Suppose the fan turns at a rate of 49 revolutions per minute.

(a) Find the angular speed of the fan in radians per minute.

(b) Find the linear speed of the tip of a blade in inches per minute.

Do not round any intermediate computations, and round your answer to the nearest whole number.

1c)

Use the information given below to find tan (α-β). sin α=4/5, with α in quadrant II an β=12/5, with β in quadrant III Give the exact answer, not a decimal approximation.

1d)

Consider a triangle A B C like the one below. Suppose that c=19, b=22, and C=39° . (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth. If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or".

1e)

Answer 1