1) a) (-π/2, π/2) b) [-π/2, π/2] c) [0, π]
2) a) Graph of y = sin⁻¹x: S-shaped curve from (-1, -π/2) to (1, π/2), passing through (0,0). b) Graph of y = tan⁻¹x: S-shaped curve from left asymptote y=-π/2 to right asymptote y=π/2, passing through (0,0). c) Graph of y = arccos x: Decreasing curve from (-1, π) to (1, 0), passing through (0, π/2).
3) a) Domain: [-1, 1], Range: [0, π] b) Domain: [-1, 1], Range: [-π/2, π/2] c) Domain: (-∞, ∞), Range: (-π/2, π/2)
4) π/6
5) π/3
6) -π/6
7) π/2
8) π/4
9) -π/3
10) -π/2
11) 2π/3
12) -π/4
13) 3π/4
14) -π/3
15) 5π/6
16) Undefined
17) π/6
18) 0
19) √3/2
20) π/6
21) -π/4
22) 5π/6
23) 5π/6
24) 1/2
25) -1
26) -1/2
27) 5
28) √3/2
29) 2π/3
30) 2π/3
31) 11π/6
32) -1/2
Parent Tip: Review the logic above to help your child master the concept of inverse trigonometric functions worksheet.
