HWC- Inverse Trig Function

sin^-1(-1/2)

• π/3
• π/6
• 5π/6
• -π/6

tan(sin^-1(-1/2))

• √3
• √3/3
• -√3
• -√3/3

csc(cos^-1(√(3)/2))

• 2
• -2
• 2√3/3
• -2√3/3

tan^-1(√(3))

• π/3
• 2π/3
• π/6
• 5π/6

cos^-1(tan(-π/4))

• 0
• π
• π/4
• 3π/4

What range of angles for inverse cosine?

• [0, π]
• [0, 2π]
• [-π/2, π/2]
• [π/2, 3π/2]

What is the range of angles for inverse sine?

• [0, π]
• [0, 2π]
• [-π/2, π/2]
• [π/2, 3π/2]

What is the range of angles for inverse tangent?

• (0, π/2)
• (-π/2, π/2)
• (0, π)
• (0, 2π)

 $\tan\left(\tan^{-1}\left(\sqrt{3}\right)\right)$  

•  $\frac{\pi}{6}$  

•  $\frac{\pi}{3}$  

•  $-\sqrt{3}$  

•  $\sqrt{3}$  

 $\cos^{-1}\left(\cos\left(\frac{2\pi}{3}\right)\right)$  

•  $-\frac{2\pi}{3}$  

•  $\frac{\pi}{3}$  

•  $\frac{2\pi}{3}$  

•  $\frac{4\pi}{3}$