Inverse trig and solving trig equations

Which of the following is NOT
a solution to
sin θ = √(3) / 2 ?

• π / 3
• 2π / 3
• 5π / 3
• 7π / 3

Tags

CCSS.HSF.TF.B.7

Solve
cos²θ = ½ 
on θ∈[0, 2π)

• θ = π /4, 7π /4
• θ = π /4, 3π /4
• θ = 3π /4, 5π /4
• θ = π /4, 3π /4, 5π /4, 7π /4

Tags

CCSS.HSF.TF.B.7

• No solution
• π/3 +2πn, 5π/3 +2πn
• π/6 +2πn, 11π/6 +2πn
• 2π/3 +2πn, 4π/3 +2πn

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)
1/2sec x - 1 = 0

• π/6, 5π/6
• π/3, 5π/3
• 2π/3, 4π/3
• 7π/6, 11π/6

Tags

CCSS.HSF.TF.B.7

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

• √3
• √3/3
• -√3
• -√3/3

Tags

CCSS.HSF.TF.C.8

csc(cos^-1(√(3)/2))

• 2
• -2
• 2√3/3
• -2√3/3

Tags

CCSS.HSF.TF.A.2

cos^-1(tan(-π/4))

• 0
• π
• π/4
• 3π/4

Tags

CCSS.HSF.TF.B.7

Evaluate:  arccos(-√3/2)

• -π/6
• -π/3
• 2π/3
• 5π/6

Tags

CCSS.HSF.TF.B.7

Find all the solutions [0, 2π) for this equation:

7cos x -9 = -2cos x

• 0

• π/2

• π

• 3π/2

• 2π

Which of these is not the same?

• sin^-1 (0)
• cos^-1 (1)
• tan^-1(1)
• sec^-1(1)

Tags

CCSS.HSF.TF.B.7