A buoy bobs up and down in the water following the formula h(t) = 5/3 sin(2t) + 5 cos(2t), where h is the height above average sea level and t is the time in hours. (a) What is the period of h? 27 (b) Show that the buoy reaches a minimum height when t = and a maximum 3 height when t = (c) Find the maximum height of the buoy, that is, the amplitude of h.

Describe the following feature of a Ferris wheel for which the height of a rider (in feet) above the ground after riding on the wheel for t seconds since passing the farthest right position on the wheel is given by h (t) = 45 sin(30t) + 60 Find the angular speed of the wheel (in ft/sec).

Solve the given equation for x  cos(tan-1x)=sin(cot-1 (3/4))

Answer with detailed understanding please

where does the function 1/sin(x) not exist? what happens if we try to calculate any of these values?

What is the horizontal shift

(cot(t))/(csc(t)-sin(t)) simplify.

16x Sin (30) = X X 16 16 yx 5. A truck with 22-inch radius wheels is traveling at 45 miles/hour. Find the angular speed of the wheels in rad/hour.

Sin(28) = cos(a) CoS mLa?

Sin(arctan(1/2)-arcsin(1/2))=