91Ó°ÊÓ

Convert the angle measure from degrees to radians. Round to three decimal places. $$ 345^{\circ} $$

Use a graphing utility to graph the function. Include two full periods. Be sure to choose an appropriate viewing window. $$ y=3 \cos \left(\frac{\pi x}{2}+\frac{\pi}{2}\right)-2 $$

Write an algebraic expression that is equivalent to the expression. (Hint: Sketch a right triangle, as demonstrated in Example \(7 .)\) $$ \sin (\arccos x) $$

Use a graphing utility to graph the function. Include two full periods. Be sure to choose an appropriate viewing window. $$ y=-0.1 \sin \left(\frac{\pi x}{10}+\pi\right) $$

Use a graphing utility to graph the two equations in the same viewing window. Use the graphs to determine whether the expressions are equivalent. Verify the results algebraically. $$ y_{1}=1+\cot ^{2} x, \quad y_{2}=\csc ^{2} x $$

Find the indicated trigonometric value in the specified quadrant. $$ \begin{array}{lll} \tan \theta=\frac{3}{2} & \text { III } & \text { sec } \end{array} $$

With your graphing utility in radian and parametric modes, enter the equations \(\mathrm{X}_{1 \mathrm{~T}}=\cos \mathrm{T}\) and \(\mathrm{Y}_{1 \mathrm{~T}}=\sin \mathrm{T}\) and use the following settings. \(\operatorname{Tmin}=0, \operatorname{Tmax}=6.3,\) Tstep \(=0.1\) \(\operatorname{Xmin}=-1.5, \operatorname{Xmax}=1.5, \mathrm{Xscl}=1\) \(\operatorname{Ymin}=-1, \operatorname{Ymax}=1, \mathrm{Yscl}=1\) (a) Graph the entered equations and describe the graph. (b) Use the trace feature to move the cursor around the graph. What do the \(t\) -values represent? What do the \(x\) - and \(y\) -values represent? (c) What are the least and greatest values of \(x\) and \(y\) ?

Convert the angle measure from degrees to radians. Round to three decimal places. $$ -0.83^{\circ} $$

Use a graphing utility to graph the function. Include two full periods. Be sure to choose an appropriate viewing window. $$ y=\frac{1}{100} \sin 120 \pi t $$

Find the indicated trigonometric value in the specified quadrant. $$ \csc \theta=-2 \quad \text { IV } \quad \cot \theta $$