91Ó°ÊÓ

Find the exact value of each expression without the use of a calculator. (Hint: Start by expressing each quantity in terms of its reference angle.) $$\cos 60^{\circ}+\cos 70^{\circ}+\cos 110^{\circ}$$

Find the exact value of each expression without the use of a calculator. (Hint: Start by expressing each quantity in terms of its reference angle.) $$\sin 200^{\circ}-\sin 150^{\circ}+\sin 160^{\circ}$$

Determine the quadrant in which the terminal side of \(\theta\) lies, subject to both given conditions. $$\tan \theta>0, \csc \theta<0$$

solve the given problems. The Singapore Flyer is a Ferris wheel that has 28 air-conditioned capsules, each able to hold 28 people. It is 165 m high, with a 150-m-diameter wheel, and makes one revolution in 37 min. Find the speed (in \(\mathrm{cm} / \mathrm{s}\) ) of a capsule.

Evaluate the given trigonometric functions by first changing the radian measure to degree measure. Round off results to four significant digits. $$\tan \left(-\frac{7 \pi}{3}\right)$$

Find the exact value of each expression without the use of a calculator. (Hint: Start by expressing each quantity in terms of its reference angle.) $$\tan 40^{\circ}+\tan 135^{\circ}-\tan 220^{\circ}$$

With \((x, y)\) in the given quadrant, determine whether the given ratio is positive or negative. $$\text { III, } \frac{x}{r}$$

solve the given problems. GPS satellites orbit the Earth twice per day with an orbital radius of \(26,600 \mathrm{km} .\) What is the linear velocity (in \(\mathrm{km} / \mathrm{s}\) ) of these satellites?

Evaluate the given trigonometric functions by first changing the radian measure to degree measure. Round off results to four significant digits. $$\sec 4.5920$$

Evaluate the given trigonometric functions by first changing the radian measure to degree measure. Round off results to four significant digits. $$\cot 3.2732$$