Trig Functions in the Coordinate Plane

What trig functions are positive in Quadrant 3?

• All trig functions

• sine and cosecant

• tangent and cotangent

• cosine and secant

Tags

CCSS.HSF.TF.A.2

 $\cos\theta<0$  and  $\csc\theta>0$  
What quadrant is being described by the statements above?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.A.2

Find  $\csc\theta$  , given the point (-4 , 3).

•  $\frac{3}{5}$  

•  $-\frac{4}{5}$  

•  $-\frac{5}{4}$  

•  $\frac{5}{3}$  

Tags

CCSS.HSF.TF.A.2

Find $\sec\theta$  , given the point (-3 , -7).

•  $\frac{-3\sqrt{58}}{58}$  

•  $\frac{-7\sqrt{58}}{58}$  

•  $\frac{\sqrt{58}}{-3}$  

•  $\frac{\sqrt{58}}{-7}$  

Tags

CCSS.HSF.TF.A.2

Find  $\cot\theta$  , given the point (3 , -3).

•  $\sqrt{2}$  

• -1

•  $-\sqrt{2}$  

• 1

Tags

CCSS.HSF.TF.A.2

Given  $\sin\theta>0$  and  $\cot\theta>0$  .  Name the quadrant in which  $\theta$  lies.

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.A.2

Given  $\tan\theta<0$  and  $\sec\theta<0$  .  Name the quadrant in which  $\theta$  lies.

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.A.2

Given  $\cos\theta=-\frac{3}{7}$  in Q3.  Find the exact value of  $\cot\theta$  .

•  $\frac{3}{7}$  

•  $\frac{3\sqrt{10}}{20}$  

•  $-\frac{7\sqrt{10}}{20}$  

•  $\frac{2\sqrt{10}}{3}$  

Tags

CCSS.HSF.TF.C.8

Given  $\tan\theta=\frac{24}{7}$  and  $\cos\theta<0$  .  Find the exact value of  $\sin\theta$  .

•  $-\frac{7}{25}$  

•  $-\frac{25}{24}$  

•  $-\frac{24}{25}$  

•  $\frac{24}{7}$  

Tags

CCSS.HSF.TF.C.8