Trig/Unit Circle

What are the coordinates of 60° on the unit circle?

• (0, 1)
• (1/2, √3/2)
• (√3/2, 1/2)
• (√2/2, 1/2)

On the unit circle, which radian measure represents the point (^√3/₂ , -¹/₂)

• ^11π/₆

• ^5π/₃

• ^7π/₆

• ^4π/₃

Given the ordered pair (-¹/₂ , ^√3/₂), what is the value of cosine?

• √3

• ^-1/₂

• ^√3/₂

• ^√3/₃

Evaluate sin (7π/6).

• 1/2

• -1/2

• √3/2

• -√3/2

Evaluate cos (150^o).

• -1/2

• 1/2

• √3/2

• -√3/2

Find θ if tan θ = -1, and θ is in Quadrant II

• 2π/3

• 5π/6

• 3π/4

• 5π/4

Find θ if  $\sin\left(\theta\right)=-\frac{\sqrt{3}}{2}$ , and θ is in Quadrant III.

• 4π/3

• 7π/6

• 3π/4

• 5π/4

For an angle  $\theta$  in standard position and a point (7, -24) on the terminal side,  find  $\sin\theta$ .

•  $-\frac{24}{25}$  

•  $\frac{7}{25}$  

•  $-\frac{24}{7}$  

•  $-\frac{7}{24}$  

For an angle  $\theta$  in standard position and a point (7, -24) on the terminal side,  find  $\cos\theta$  .

•  $-\frac{24}{25}$  

•  $\frac{7}{25}$  

•  $-\frac{24}{7}$  

•  $-\frac{7}{24}$  

For an angle  $\theta$  in standard position and a point (7, -24) on the terminal side,  find  $\tan\theta$ .

•  $-\frac{24}{25}$  

•  $\frac{7}{25}$  

•  $-\frac{24}{7}$  

•  $-\frac{7}{24}$