Unit 1 - Using the Unit Circle with Trig

Using (-3, 1) as the terminal side, what is  $\cos\left(\theta\right)$  ?

•  $-3$  

•  $-\frac{3\sqrt{10}}{10}$  

•  $1$  

•  $\frac{\sqrt{10}}{10}$  

Tags

CCSS.HSG.SRT.C.6

Using $\left(2,\ -3\sqrt{2}\right)$  as the terminal side, what is  $\sec\left(\theta\right)$  ?

•  $\frac{\sqrt{22}}{11}$  

•  $\frac{\sqrt{22}}{2}$  

•  $-\frac{3\sqrt{11}}{11}$  

•  $-\frac{\sqrt{11}}{3}$  

Tags

CCSS.HSG.SRT.C.6

If  $\sin\ \left(\theta\right)=-\frac{1}{3}$  , what is  $\tan\left(\theta\right)$  in quadrant 4?

•  $\frac{\sqrt{2}}{4}$  

•  $2\sqrt{2}$  

•  $-2\sqrt{2}$  

•  $-\frac{\sqrt{2}}{4}$  

Tags

CCSS.HSF.TF.C.8

Using your unit circle, what is $\cos\left(60^o\right)+\sin\left(30^o\right)$  ?

•  $\frac{1}{2}$  

•  $0$  

•  $1$  

•  $\sqrt{3}$  

Tags

CCSS.HSG.SRT.C.7

Using your unit circle, what is $\csc\left(-\frac{7\pi}{3}\right)$  ?

•  $2$  

•  $-2$  

•  $\frac{2\sqrt{3}}{3}$  

•  $-\frac{2\sqrt{3}}{3}$  

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

Using your unit circle, what is $\cot\left(-5\pi\right)$  ?

•  $0$  

•  $1$  

•  $-1$  

• undefined

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

 $If\ \sec\left(\theta\right)=-4,\ what\ is\ \sin\left(\theta\right)\ in\ quadrant\ 2?$  

•  $-\frac{\sqrt{15}}{4}$  

•  $\frac{\sqrt{15}}{4}$  

•  $\frac{1}{4}$  

•  $-\frac{1}{4}$  

Tags

CCSS.HSG.SRT.C.7

Choose all the trigonometric ratios below that have a solutions of $-\frac{1}{2}$  .

•  $\sin\left(330^o\right)$  

•  $\cos\left(120^o\right)$  

•  $\sin\left(-30^o\right)$  

•  $\cos\left(240^o\right)$  

•  $\sin\left(-240^o\right)$  

Tags

CCSS.HSG.SRT.C.7

Choose all the points below that would be the terminal side of an angle such that $\tan\left(\theta\right)=2$  ?

•  $\left(-1,\ -2\right)$  

•  $\left(-3,\ 6\right)$  

•  $\left(-\sqrt{2},\ 2\sqrt{2}\right)$  

•  $\left(\sqrt{2},\sqrt{8}\right)$  

•  $\left(-3\sqrt{2},\ -6\right)$  

Tags

CCSS.HSG.SRT.C.8

Given that $\sin\left(\theta\right)=-\frac{\sqrt{21}}{5}$ and  $\cos\left(\theta\right)=\frac{2}{5}$ , what is  $\cot\left(\theta\right)$ ? 

•  $-\frac{\sqrt{21}}{2}$  

•  $\frac{\sqrt{21}}{2}$  

•  $-\frac{2\sqrt{21}}{21}$  

•  $\frac{2\sqrt{21}}{21}$  

Tags

CCSS.HSF.TF.C.8