1. The minute hand of a clock moves from 12 to 4 o’clock or 1/3 of a complete revolution. Through how many degrees does it move? Through how many radians does it move?
2. A lawn sprinkler rotates through an angle of 1350 and projects water over a distance of 40ft. What is the area of the lawn watered by the sprinkler? Express your answer in terms of π and then round to two decimal places.
3. q is an acute angle and sin q ans cos q are given. Use identities to find tan q , csc q , sec q, and cot q . Where necessary rationalize denominators.
sec q = 3/5 and cos q = 4/5
4. Find the exact value of the expression below. Write the answer as a single fraction. Do not use a calculator.
Sin π/ 4 cos0 – sin π/6 cos π