Inverse Trig Functions and Solving

Which trig functions are negative in Q3?

SELECT ALL THAT APPLY

•  $\sin\theta,\csc\theta$ 

•  $\cos\theta,\sec\theta$ 

•  $\tan\theta,\cot\theta$ 

• none of the above

Tags

CCSS.HSF.TF.A.2

Which trig functions are positive in Q3?

•  $\sin\theta,\csc\theta$ 

•  $\cos\theta,\sec\theta$ 

•  $\tan\theta,\cot\theta$ 

• none of the above

Tags

CCSS.HSF.TF.A.2

In which quadrant is sin 𝝧 positive and sec 𝝧 negative?

• Q1

• Q2

• Q3

• Q4

• This is not possible. There is no such quadrant where this combination would occur.

Tags

CCSS.HSF.TF.A.2

In which quadrant is csc 𝝧 negative and cos 𝝧 negative?

• Q1

• Q2

• Q3

• Q4

• This is not possible. There is no such quadrant where this combination would occur.

Tags

CCSS.HSF.TF.A.2

In which quadrant is tan 𝝧 negative and cot 𝝧 positive?

• Q1

• Q2

• Q3

• Q4

• This is not possible. There is no such quadrant where this combination would occur.

Tags

CCSS.HSF.TF.A.2

Find an angle in quadrant 2 with a common reference angle with 162°, from 0°≤θ<360°.

• 18

• 127

• 118

• 162

Express as a function of a DIFFERENT angle, 0≤θ<360.

 $\sin\left(357\degree\right)$  

•  $177\degree$  

•  $183\degree$  

•  $345\degree$  

  
  

•  $8\degree$  

Find all angles,  $0\degree\le\theta<360\degree$  , that solve the following equation. (Pick 2)

 $\cos\theta=0$  

•  $360\degree$  

•  $90\degree$  

•  $135\degree$  

•  $270\degree$  

•  $30\degree$  

If  $\cot\theta=1\$  and the reference angle is  $45\degree$  , find both angles in degrees from  $0\degree\le\theta<360\degree$  .

•  $45\degree$  
  

•  $135\degree$  
  

•  $270\degree$  
  

•  $315\degree$  
  

•  $225\degree$  
  

 $\cos\theta=-\frac{3}{4}$  

Find all angles, 0≤θ<360, that satisfy the equation below, to the nearest 10th of a degree.

•  $221.4\degree$  

•  $41.4\degree$  

•  $318.6\degree$  

•  $138.6\degree$  

•  $147.89\degree$