91Ó°ÊÓ

Write each measure in radians. Express the answer in terms of \(\pi\) and as a decimal rounded to the nearest hundredth. $$ 150^{\circ} $$

Evaluate each expression. Give your answer as a decimal rounded to the nearest hundredth. $$ \cot \left(-55^{\circ}\right) $$

Identify the period and tell where two asymptotes occur for each function. $$ y=\tan \frac{3 \theta}{2} $$

Write each measure in degrees. Round your answer to the nearest degree, if necessary. 4.71 radians

How many cycles does each sine function have in the interval from 0 to 2\(\pi ?\) Find the amplitude and period of each function. Graph cannot copy

Writing Could you use a periodic function to represent each situation described below? Explain. the average monthly temperature in your community, recorded every month for three years

Sketch one cycle of the graph of each sine function. $$ y=\sin 3 \theta $$

Identify the period, range, and amplitude of each function. \(y=-\frac{1}{2} \cos 3 \theta\)

Motion You are sitting on a pier watching the waves when you notice a bottle in the water. The bottle bobs so that it is between 2.5 \(\mathrm{ft}\) and 4.5 \(\mathrm{ft}\) below the pier. You know you can reach 3 \(\mathrm{ft}\) below the pier. Suppose the bottle reaches its highest point every 5 \(\mathrm{s} .\) a. Sketch a graph of the bottle's distance below the pier for 15 s. Assume that at \(t=0,\) the bottle is closest to the pier. b. Find the period and the amplitude of the function. c. Estimatien Use your graph to estimate the length of time the bottle is within reach during each cycle.

Use the graph of the appropriate reciprocal trigonometric function to find each value. Round to four decimal places. $$ \sec 30^{\circ} $$