Trigonometry

What is the measure in degrees of the angle $A=\frac{7\pi}{6}$ ? 

•  $150\degree$   

•  $210\degree$  

•  $100\degree$  

•  $120\degree$  

Which pairs of angles are complementary?

• $\frac{3\pi}{4}and\ \frac{\pi}{4}$

• $\frac{5\pi}{12}\ and\ \frac{\pi}{12}$

• $\frac{\pi}{4}and\ \frac{\pi}{3}$

• $\frac{\pi}{6}and\ \frac{\pi}{8}$

In which quadrant can we locate the terminal side of an angle in standard position whose measure is  $-30\degree$ ?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

In which quadrant can we locate the terminal side of an angle in standard position whose measure is  $\frac{2\pi}{3}$ ?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

In the triangle above,  
  $m=?$  

•  $5$  

•  $10\sqrt{2}$  

•  $20\sqrt{2}$  

•  $5\sqrt{2}$  

What is the length of  $AB$   in the figure above?

•  $12\sqrt{2}$  

•  $12$  

•  $12\sqrt{3}$  

•  $12\sqrt{6}$  

What is the area of a square whose diagonal is 40 meters?

• $80\ m^2$

• $800\ m^2$

• $1600\ m^2$

• $40\ m^2$

In the figure above, what is the value of  $\cos\ \theta$  ?

•  $\frac{3}{5}$  

•  $\frac{4}{5}$  

•  $\frac{1}{5}$  

•  $\frac{2}{5}$  

What is the length of  $AC$  in the right triangle above?

•  $9$  

•  $9\sqrt{2}$  

•  $18\sqrt{2}$  

•  $18$  

In the right triangle above, what is  $\sin\ \alpha?$  

•  $\frac{13}{9}$  

•  $\frac{9}{13}$  

•  $\frac{13\sqrt{10}}{50}$  

•  $\frac{13}{24}$