91Ó°ÊÓ

Evaluate (if possible) the six trigonometric functions at the real number. $$t=7 \pi / 4$$

Find the values of the six trigonometric functions of \(\boldsymbol{\theta}\) with the given constraint. \(\cos \theta=-\frac{4}{5}\) \(\theta\) lies in Quadrant III.

Use a calculator to evaluate the expression. Round your result to two decimal places. $$\arctan 25$$

Sketch the graph of the function. (Include two full periods.) $$y=3 \cot 2 x$$

An engineer erects a 75 -foot cellular telephone tower. Find the angle of elevation to the top of the tower at a point on level ground 50 feet from its base.

Evaluate (if possible) the six trigonometric functions at the real number. $$t=-5 \pi / 3$$

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

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

Find the values of the six trigonometric functions of \(\boldsymbol{\theta}\) with the given constraint. $$\begin{aligned} &\cot \theta=-3\\\ &\cos \theta>0 \end{aligned}$$

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.