Chapter 5 and 6 Review

Convert the angle measure into a decimal and round to the nearest thousandth.
 $280\degree1'49''$  

•  $280.030\degree$  

•  $280.029\degree$  

•  $280.031\degree$  

•  $280.032\degree$  

Use the unit circle to solve the equation for $0\degree\le\theta\le360\degree$  

 $\sin\theta=-\frac{\sqrt{2}}{2}$  

Select all that apply

•  $\theta=225\degree$  

•  $\theta=315\degree$  

•  $\theta=135\degree$  

•  $\theta=45\degree$  

If $\tan\theta=\frac{1}{4}$  find  $\sin\theta$ . 

Hint: Draw a triangle and label all the parts. 

•  $\sin\theta=\frac{\sqrt{17}}{17}$  

•  $\sin\theta=4$  

•  $\sin\theta=1$  

•  $\sin\theta=\sqrt{17}$  

An airplane is preparing to land at the Oakland Airport. The plane is descending at an angle of  $33\degree$  and it is 3,871 ft above the ground. Find the ground distance from the plane to the airport. Round to the nearest foot.

Use the triangle to solve the problem. The triangle is not drawn to scale. If  $a=13,\ b=11$ and  $c=17$  , find  $\angle B$ . Round to the nearest tenth.

•  $\angle B=40.3\degree$  

•  $\angle B=93.6\degree$  

•  $\angle B=34.1\degree$  

Change  $120º$  to radians.

•  $\frac{2\pi}{3}$  

•  $\frac{3\pi}{2}$  

•  $\frac{4\pi}{3}$  

•  $\frac{5\pi}{6}$  

What is the amplitude of the trigonometric function? $y=-4\sin\left(2x\right)+3$  

•  $4$  

•  $-4$  

•  $3$  

•  $-3$  

What is the period of the cosine function?

• $\pi$

• $2\pi$

• $\frac{3\pi}{2}$

• $\frac{\pi}{2}$

Given the equation, what is the phase (horizontal) shift? $y=6\cos\left(5x+\frac{\pi}{4}\right)-2$  

•  $-\frac{\pi}{20}$  

•  $-\frac{5\pi}{2}$  

•  $\frac{\pi}{4}$  

•  $-\frac{5\pi}{4}$  

What is the equation of the graph?

• $y=3\sin\left(\frac{3x}{2}\right)-2$

• $y=3\sin\left(\frac{4x}{3}\right)-2$

• $y=-3\sin\left(\frac{3x}{2}\right)-2$

• $y=-3\sin\left(\frac{4x}{3}\right)-2$