Trigonometric Unit Circle

Trigonometric Unit Circle

Multiple Choice

Name two angles with tangent 0.

• 45^o and 225^o
• 135^o and 315^o
• 0^o and 180^o
• 90^o and 270^o

Multiple Choice

Name two angles with cosine
 -√3/2.

• 30^o and 150^o
• 150^o and 210^o
• 210^o and 330^o
• 150^o and 330^o

Multiple Choice

sin(240^o)

• √3/2
• -√3/2
• 1/2
• -1/2

Multiple Choice

cos(30^o)

• 1/2
• -1/2
• √3/2
• -√3/2

Multiple Choice

All six trigonometric functions are positive in the first quadrant.

• True
• False

Multiple Choice

Find the missing side u

• 2√3
• 4
• 8
• 4√3

Multiple Choice

Which one is the easy way to remember trigonometric ratios?

• Sah Coh Toa
• Soh Cah Toa
• Soh Cah Tao
• Soh Ceh Toa

Multiple Choice

What is the tangent of angle A?

• .75

• 
  

  $\frac{4}{3}$
  

• .8

• $\frac{5}{4}$

Multiple Choice

What is the sine of angle A?

• $\frac{45}{30}$
  

• $\frac{10\sqrt{7}}{30}$

• $\frac{30}{10\sqrt{7}}$

• $\frac{30}{45}$

Multiple Select

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

•  $\frac{opposite}{hypotenuse}$  

•  $\frac{opposite}{adjacent}$  

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

•  $\frac{hypotenuse}{adjacent}$  

Multiple Choice

The cosine of an angle can be calculated by which expression?

• $\frac{hypotenuse}{adjacent}$

• $\frac{opposite}{adjacent}$

• $\frac{adjacent}{hypotenuse}$

• $\frac{adjacent}{opposite}$

Multiple Choice

What is cos 90°?

• ½
• undefined
• 1
• 0

Multiple Choice

What is sin 45°?

• 1
• ^√3/₂
• ½
• ^√2/₂

Multiple Choice

What is the radius of a unit circle?

• 1
• 2
• 1/2
• 0

Multiple Choice

Positive angles are measured in which direction from standard position?

• Clockwise
• Counterclockwise

Multiple Choice

sinθ is positive in

• the 1st and 2nd quadrants
• the 1st and 3rd quadrants
• the 1st and 4th quadrants
• the 2nd and 3rd quadrants

Multiple Choice

cosθ is positive in

• the 1st and 2nd quadrants
• the 1st and 3rd quadrants
• the 1st and 4th quadrants
• the 2nd and 3rd quadrants

Multiple Choice

Based on the unit circle, what is the value of sin?

• y/r
• x/r
• r/y
• y/x

Multiple Choice

Based on the unit circle, what is the value of cos?

• y/r
• x/r
• r/y
• y/x