5.3 - Trig Functions of Any Angle

Using the Unit Circle, find the exact value of this trig function.

• 1

• 0

• -1

• undefined

• The correct answer is not listed

 tan 2π = 

• 0
• 1
• -1
• undefined

Tags

CCSS.HSF.TF.A.2

sin 0 =

• 0

• ¹/₂

• ^√2/₂

• ^√3/₂

• 1

Find sin(θ) given that the terminal side of θ contains the point (-19, 19).

• $\frac{\sqrt{2}}{2}$

• $-1$

• $-\sqrt{2}$

• $-\frac{\sqrt{2}}{19}$

Find sec(θ) given that the terminal side of θ contains the point  $\left(\sqrt{5},2\right)$  .

•  $\frac{3\sqrt{5}}{5}$ 

•  $\frac{3}{2}$ 

•  $\frac{\sqrt{5}}{2}$ 

•  $-\frac{\sqrt{5}}{3}$ 

Find cos(θ) given that the terminal side of θ contains the point  $\left(-9,\ 6\right)$ .

•  $-\frac{3\sqrt{13}}{13}$ 

•  $-\frac{\sqrt{13}}{3}$ 

•  $\frac{3}{2}$ 

•  $\frac{\sqrt{13}}{3}$ 

Find  $\tan\left(\theta\right)$  given that  $\sin\left(\theta\right)=-\frac{3}{5}$  and  $\cos\left(\theta\right)>0$ .  

•  $-\frac{3}{4}$  

•  $\frac{4}{5}$  

•  $\frac{4}{3}$  

•  $-\frac{5}{3}$  

Find  $\csc\left(\theta\right)$  given that  $\cos\left(\theta\right)=\frac{4\sqrt{17}}{17}$  and  $\sin\left(\theta\right)<0$ .  

•  $-\sqrt{17}$  

•  $-4$  

•  $\frac{1}{4}$  

•  $\frac{\sqrt{17}}{17}$  

Find  $\sin\left(\theta\right)$  given that  $\cot\left(\theta\right)=-\frac{\sqrt{2}}{5}$  and  $\cos\left(\theta\right)>0$ .  

•  $-\frac{5\sqrt{3}}{9}$  

•  $\frac{\sqrt{6}}{3}$  

•  $\frac{5\sqrt{2}}{2}$  

•  $-\frac{5}{9}$  

Name the quadrant in which ∠A lies, if cosA > 0, sinA < 0

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