91Ó°ÊÓ

Using a protractor, sketch a right triangle that has the acute angle \(40^{\circ} .\) Measure the sides carefully, and use your results to estimate the six trigonometric ratios of \(40^{\circ} .\)

Find an angle between \(0^{\circ}\) and \(360^{\circ}\) that is coterminal with the given angle. $$1270^{\circ}$$

A triangular field has sides of lengths 22 \(36,\) and 44 yd. Find the largest angle.

Find an angle between 0 and \(2 \pi\) that is co terminal with the given angle. $$\frac{19 \pi}{6}$$

Find the values of the trigonometric functions of \(\theta\) from the information given. $$\sin \theta=-\frac{4}{5}, \quad \theta \text { in Quadrant IV }$$

Find the values of the trigonometric functions of \(\theta\) from the information given. $$\tan \theta=\frac{4}{3}, \quad \theta \text { in Quadrant III }$$

Find an angle between 0 and \(2 \pi\) that is co terminal with the given angle. $$-\frac{5 \pi}{3}$$

A boy is flying two kites at the same time. He has \(380 \mathrm{ft}\) of line out to one kite and \(420 \mathrm{ft}\) to the other. He estimates the angle between the two lines to be \(30^{\circ} .\) Approximate the distance between the kites. (GRAPH CAN'T COPY)

Find an angle between 0 and \(2 \pi\) that is co terminal with the given angle. $$25 \pi$$

Find the values of the trigonometric functions of \(\theta\) from the information given. $$\cos \theta=\frac{7}{12}, \quad \sin \theta<0$$