Reciprocal Trig Functions

What does

 $\sec\theta$  represent?

•  $\frac{1}{\cos\theta}$  

•  $\frac{1}{\sin\theta}$  

•  $\frac{1}{\tan\theta}$  

Tags

CCSS.HSF.TF.A.2

What does

 $\csc\theta$  represent?

•  $\frac{1}{\cos\theta}$  

•  $\frac{1}{\sin\theta}$  

•  $\frac{1}{\tan\theta}$  

Tags

CCSS.HSF.TF.A.2

What does

 $\cot\theta$  represent?
Check all that apply! (2 answers)

•  $\frac{1}{\cos\theta}$  

•  $\frac{1}{\sin\theta}$  

•  $\frac{\cos\theta}{\sin\theta}$  

•  $\frac{1}{\tan\theta}$  

Use your calculator to determine the value of  $\cot\left(115\degree\right).$  Round to the nearest hundredth!

(a)  

In simplest radical form, $\sec\left(135\degree\right)$  is equal to 

•  $-\frac{\sqrt{2}}{3}$  

•  $-\sqrt{2}$  

•  $-\frac{\sqrt{2}}{2}$  

•  $-\frac{\sqrt{3}}{2}$  

Answer explanation

 $\sec\left(135\degree\right)=\frac{1}{\cos\left(135\degree\right)}=\frac{1}{-\frac{\sqrt{2}}{2}}$   $=-\frac{2}{\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}=-\frac{2\sqrt{2}}{2}=-\sqrt{2}$  

For which of the following values of $\theta$  is  $\cot\theta$  undefined?

•  $60\degree$  

•  $90\degree$  

•  $180\degree$  

•  $135\degree$  

For the angle $\theta$  it is know that  $\csc\theta\ >0\$  and  $\sec\theta\ <0.\$  When drawn in standard position, the terminal ray of  $\theta$  lies in quadrant

• I

• II

• III

• IV

What questions do you have about anything in the trig unit?