If $\text{sin}\alpha >0$ and $\text{cot}\alpha >0$, then $\alpha$ is in the first quadrant. [6.3]

The lengths of corresponding sides in similar triangles are in the same ratio. [6.1]

If $\theta$ is an acute angle and $\text{csc}\theta \approx 1.5539$, then $\text{cos}\left(90°-\theta \right)\approx \mathrm{0.6435.}$ [6.1]

$-75°$

$214°30\prime$

$18.2°$

$87°15\prime 100$

Given that $\sin 25°=0.4226$, $\cos 25°=0.9063$, and $\text{tan}25°=0.4663$, find the six trigonometric function values for $155°$. Use a calculator, but do not use the trigonometric function keys. [6.3]

Find the six trigonometric function values for the angle shown. [6.3]

Given $\cot \theta =2$ and $\theta$ in quadrant III, find the other five trigonometric function values. [6.3]

Given $\cos \alpha ={\displaystyle \frac{2}{9}}$ and $0°<\alpha <90°$, find the other five trigonometric function values. [6.1]

Convert $42°08\prime 50^{″}$ to decimal degree notation. Round to four decimal places. [6.1]

Convert $51.18°$ to degrees, minutes, and seconds. [6.1]

Given that $\sin 9°\approx 0.1564$, $\cos 9°\approx 0.9877$, and $\tan 9°\approx 0.1584$, find the six trigonometric function values of $81°$. [6.1]

If $\text{tan}\theta =2.412$ and $\theta$ is acute, find the angle to the nearest tenth of a degree. [6.1]

Aerial Navigation. An airplane travels at 200 mph for $1{\displaystyle \frac{1}{2}}\text{hr}$ in a direction of $285°$ from Atlanta. At the end of this time, how far west of Atlanta is the plane? [6.3]

$\tan 210°$

$\sin 45°$

$\cot 30°$

$\text{sec}135°$

$\text{cos}45°$

$\text{csc}\left(-30°\right)$

$\sin 90°$

$\cos 270°$

$\text{sin}120°$

$\text{sec}180°$

$\text{tan}\left(-240°\right)$

$\text{cot}\left(-315°\right)$

$\text{sin}750°$

$\text{csc}45°$

$\text{cos}210°$

$\text{cot}\text{ >}0°$

$\text{csc}150°$

$\text{tan}90°$

$\text{sec}3600°$

$\text{cos}495°$

$\text{cos}39.8°$

$\text{sec}50°$

$\text{tan}2183°$

$\sin 10°28\prime 03^{″}$

$\text{csc}\left(-74°\right)$

$\text{cot}142.7°$

$\sin \left(-40.1°\right)$

$\text{cos}87°15\prime$