91Ó°ÊÓ

Perform the indicated operation. Express the result in terms of \(\pi\) $$ \frac{\pi}{3}+\frac{\pi}{4} $$

Use a calculator to find the value of each function. Round answers to four decimal places. $$ \cot (\pi / 9) $$

Perform each computation without a calculator. Express the answer in degrees- minutes-seconds format. Use a calculator to check your answers. $$ 24^{\circ} 15^{\prime}+33^{\circ} 51^{\prime} $$

Find the length of the arc intercepted by the given central angle \(\alpha\) in a circle of radius \(r\). Round to the nearest tenth. $$ \alpha=1, r=4 \mathrm{~cm} $$

Use a calculator to find the value of each function. Round answers to four decimal places. $$ \cot (\pi / 10) $$

Use a calculator to evaluate each expression. Round approximate answers to four decimal places. $$ \frac{1+\cos \left(44.3^{\circ}\right)}{2} $$

Find the length of the arc intercepted by the given central angle \(\alpha\) in a circle of radius \(r\). Round to the nearest tenth. $$ \alpha=3^{\circ}, r=4000 \mathrm{mi} $$

Use a calculator to evaluate each expression. Round approximate answers to four decimal places. $$ \frac{1-\cos \left(98.6^{\circ}\right)}{\sin \left(98.6^{\circ}\right)} $$

Find the length of the arc intercepted by the given central angle \(\alpha\) in a circle of radius \(r\). Round to the nearest tenth. $$ \alpha=60^{\circ}, r=2 \mathrm{~m} $$

Find the length of the arc intercepted by the given central angle \(\alpha\) in a circle of radius \(r\). Round to the nearest tenth. $$ \alpha=1.3, r=26.1 \mathrm{~m} $$