Trigonometric Functions Practice

What is the reciprocal of the sine function?

• cosecant

• cosine

• secant

• cotangent

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

 $\tan\left(\theta\right)$  of an angle,  $\theta$ can be expressed as which of the following?

•  $\frac{opposite}{hypotenuse}$  

•  $\frac{opposite}{adjacent}$  

•  $\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$  

•  $\frac{hypotenuse}{adjacent}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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

• 1

• 0

• -1

• undefined

• The correct answer is not listed

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

 tan 2π = 

• 0
• 1
• -1
• undefined

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

sin 0 =

• 0

• ¹/₂

• ^√2/₂

• ^√3/₂

• 1

Tags

CCSS.HSF.TF.A.2

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

• $\frac{\sqrt{2}}{2}$

• $-1$

• $-\sqrt{2}$

• $-\frac{\sqrt{2}}{19}$

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

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

•  $\frac{3\sqrt{5}}{5}$ 

•  $\frac{3}{2}$ 

•  $\frac{\sqrt{5}}{2}$ 

•  $-\frac{\sqrt{5}}{3}$ 

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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

•  $-\frac{3}{4}$  

•  $\frac{4}{5}$  

•  $\frac{4}{3}$  

•  $-\frac{5}{3}$  

Tags

CCSS.HSF.TF.C.8

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

•  $-\sqrt{17}$  

•  $-4$  

•  $\frac{1}{4}$  

•  $\frac{\sqrt{17}}{17}$  

Tags

CCSS.HSF.TF.C.8

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

• 1

• 2

• 3

• 4

Tags

CCSS.HSF.TF.C.8