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Magazine Problem 13
In Exercises 1-14, find the exact values of the indicated trigonometric functions using the unit circle. $$ \tan 240^{\circ} $$
Problem 13
$$ \text { In Exercises 11-24, convert each angle measure from degrees to radians. Leave answers in terms of } \pi \text {. } $$ $$ 45^{\circ} $$
Problem 14
$$ \text { In Exercises 11-24, convert each angle measure from degrees to radians. Leave answers in terms of } \pi \text {. } $$ $$ 90^{\circ} $$
Problem 14
In Exercises 1-14, find the exact values of the indicated trigonometric functions using the unit circle. $$ \cot 330^{\circ} $$
Problem 14
In Exercises 13-24, find the exact length of each radius given the arc length and central angle of each circle. $$ s=\frac{5 \pi}{6} \mathrm{~m}, \theta=\frac{\pi}{12} $$
Problem 14
In Exercises 11-20, find the distance traveled (arc length) of a point that moves with constant speed \(v\) along a circle in time \(t\). $$ v=5.6 \mathrm{ft} / \mathrm{sec}, t=2 \mathrm{~min} $$
Problem 15
In Exercises 11-20, find the distance traveled (arc length) of a point that moves with constant speed \(v\) along a circle in time \(t\). $$ v=60 \mathrm{mi} / \mathrm{hr}, t=15 \mathrm{~min} $$
Problem 15
In Exercises 15-30, use the unit circle and the fact that sine is an odd function and cosine is an even function to find the exact values of the indicated functions. $$ \sin \left(-\frac{2 \pi}{3}\right) $$
Problem 15
$$ \text { In Exercises 11-24, convert each angle measure from degrees to radians. Leave answers in terms of } \pi \text {. } $$ $$ 315^{\circ} $$
Problem 15
In Exercises 13-24, find the exact length of each radius given the arc length and central angle of each circle. $$ s=\frac{24 \pi}{5} \text { in. }, \theta=\frac{3 \pi}{5} $$
