Trigonometric Functions of Any Angle

Point P(7, -24) is a point on the terminal side of angle $\theta$ . Find the exact value of sine $\theta$ .

•  $-\frac{24}{25}$  

•  $\frac{7}{25}$  

•  $-\frac{24}{7}$  

•  $\frac{24}{25}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Point R(3, 4) is a point on the terminal side of angle $\theta$ . Find the exact value of tangent $\theta$ .

•  $\frac{3}{4}$  

•  $-\frac{4}{3}$  

•  $\frac{4}{5}$  

•  $\frac{4}{3}$  

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Point Q(-5, -12) is a point on the terminal side of angle $\theta$ . Find the exact value of cosine $\theta$ .

•  $\frac{5}{13}$  

•  $-\frac{12}{13}$  

•  $-\frac{5}{13}$  

•  $-\frac{13}{5}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Point M(-7, 9) is a point on the terminal side of angle $\theta$ . Find the exact value of cosecant $\theta$ .

•  $\frac{\sqrt{130}}{9}$  

•  $\frac{9\sqrt{130}}{130}$  

•  $-\frac{\sqrt{130}}{9}$  

•  $-\frac{\sqrt{130}}{7}$  

Given that $\theta$ is an angle in standard form. In which quadrant does  $\sin\theta<0,\ \cos\theta>0$  lie?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

Given that $\theta$ is an angle in standard form. In which quadrant does  $\tan\theta<0,\ \cos\theta<0$  lie?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.C.8

Given that $\theta$ is an angle in standard form. In which quadrant does  $\cot\theta>0,\ \sec\theta<0$  lie?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

What is the reference angle for 172⁰?

• 8⁰

• 16⁰

• 18⁰

• 72⁰

What is the reference angle for $\frac{5\pi}{4}$ ?

•  $\frac{3\pi}{4}$  
  

•  $\frac{\pi}{3}$  
  

•  $\frac{\pi}{2}$  
  

•  $\frac{\pi}{4}$  
  

Given that $\theta$ is an angle in standard form. If  $\cos\theta\ =-\frac{12}{13}$ , then $\theta$ is in _______________.   

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8