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Evaluating Trigonometric Functions In Exercises \(23-30\) , evaluate (if possible) the six trigonometric functions at the real number. $$t=-5 \pi / 3$$

Evaluating Trigonometric Functions. Find the values of the six trigonometric functions of \(\theta\) with the given constraint. $$\begin{array}{ll}{\text { Function Value }} & {\text { Constraint }} \\\ {\cot \theta=-{3}{}} & {\cos \theta>0}\end{array}$$

Use a calculator to evaluate the expression. Round your result to two decimal places. \(\sin ^{-1} 0.31\)

Sketch each angle in standard position. (a) \(270^{\circ} \quad\) (b) \(120^{\circ}\)

Evaluating Trigonometric Functions. Find the values of the six trigonometric functions of \(\theta\) with the given constraint. $$\begin{array}{ll}{\text { Function Value }} & {\text { Constraint }} \\\ {\csc \theta={4}{}} & {\cot \theta<0}\end{array}$$

Angle of Elevation The height of an outdoor basketball backboard is 12\(\frac{1}{2}\) feet, and the backboard casts a shadow 17\(\frac{1}{3}\) feet long. (a) Draw a right triangle that gives a visual representation of the problem. Label the known and unknown quantities. (b) Use a trigonometric function to write an equation involving the unknown angle of elevation. (c) Find the angle of elevation of the sun.

Use a calculator to evaluate the expression. Round your result to two decimal places. \(\cos ^{-1} 0.26\)

Evaluating Trigonometric Functions In Exercises \(23-30\) , evaluate (if possible) the six trigonometric functions at the real number. $$t=3 \pi / 2$$

Sketch each angle in standard position. (a) \(-135^{\circ} \quad\) (b) \(-750^{\circ}\)

Sketching the Graph of a Trigonometric Function In Exercises \(15-38\) , sketch the graph of the function. (Include two full periods.) $$y=3 \cot \frac{\pi x}{2}$$