Unit 3 - Radians & Applications

Convert 100⁰ to radians

• 5π/9
• π/2
• 5π/8
• 5π/6

Tags

CCSS.HSF.TF.A.1

Convert -40^o into Radians

• -4π / 8

• -8π / 9

• -2π / 9

• -5π / 8

Tags

CCSS.HSF.TF.A.1

sin 7π/6

• 1/2
• -1/2
• √3/2
• -√3/2

Tags

CCSS.HSF.TF.A.2

sec 3π/2

• 0
• undefined
• 1
• -1

Tags

CCSS.HSF.TF.A.2

Which of the following is NOT a solution to $\sin\theta=\frac{\sqrt{3}}{2}$ ? 

• π / 3

• 2π / 3

• 5π / 3

• 7π / 3

Solve $\cos\theta=-\frac{\sqrt{3}}{2}$ on the interval [0, π].

• θ = π /3

• θ = 2π /3

• θ = π /6

• θ = 5π /6

Use a calculator to find the value of $\cot5.2398$ . Round to the nearest hundredth.

•  $-0.58$  

•  $0.72$  

•  $-1.72$  

•  $0.50$  

Use a calculator to find the value of  to the nearest hundredth in the interval $\left[\frac{\pi}{2},2\pi\right]$  such that  $\sec\theta\ =2.4183$  

•  $0.912$  radians

•  $0.92\pi$  radians

•  $1.14$  radians

•  $1.14\pi$  radians

Calculate the length of an arc with radius 15 cm and central angle of 30°.

• 450 cm
• 5π/2 cm or ≈ 7.9 cm
• 225 cm
• 5π/4 cm or ≈ 3.9 cm

Calculate the area of a sector with central angle of 140° and radius of 8 cm.

• 224/9 cm² or ≈ 24.9 cm²
• 896 π/9 cm² or ≈ 312.8 cm²
• 4480 cm²
• 224 π/ 9 cm² or ≈ 78.2 cm²