Problem 18
Convert to radian measure. Leave the answer in terms of \(\pi\). $$6.3^{\circ}$$
Problem 19
Find the complement and the supplement. $$17.11^{\circ}$$
Problem 20
Find the complement and the supplement. $$47^{\circ} 38^{\prime}$$
Problem 20
Determine the amplitude, the period, and the phase shift of the function and, without a graphing calculator, sketch the graph of the function by hand. Then check the graph using a graphing calculator. $$y=\frac{1}{2} \sin \left(2 x-\frac{\pi}{4}\right)$$
Problem 22
Find the function value using coordinates of points on the unit circle. Give exact answers. $$\tan \frac{3 \pi}{2}$$
Problem 24
Determine the amplitude, the period, and the phase shift of the function. Then check by graphing the function using a graphing calculator. Try to visualize the graph before creating it. $$y=-3 \cos (4 x-\pi)+2$$
Problem 26
Determine the amplitude, the period, and the phase shift of the function. Then check by graphing the function using a graphing calculator. Try to visualize the graph before creating it. $$y=5-2 \cos \left(\frac{\pi}{2} x+\frac{\pi}{2}\right)$$
Problem 28
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate. $$\sin 11.7$$
Problem 28
Convert to radian measure. Round the answer to two decimal places. $$584^{\circ}$$
Problem 30
Height of a Kite. For a science fair project, a group of students tested different materials used to construct kites. Their instructor provided an instrument that accurately measures the angle of elevation. In one of the tests, the angle of elevation was \(63.4^{\circ}\) with \(670 \mathrm{ft}\) of string out. Assuming the string was taut, how high was the kite?