MA 3972-MA-Book May 8, 2018 13:46
64 STEP 4. Review the Knowledge You Need to Score High
0
y = tan x
x
y
− 2 π −1. 5π − 1 π−0.5π 0.5π 1 π 1. 5π 2 π
Domain: {all x ≠ ± , ± ,.. .}
Range: {−∞ < y < ∞}
Frequency: 1 Period: π
π
2
3 π
2
Figure 5.3-13
−0.5π
0
y = tan−^1 x
x
y
− 3 − 2 − 1123
0.5π
Domain: {−∞ < x < ∞}
Range: {−π/2 < y < π/2}
Figure 5.3-14
− 1
0
y = sec x
x
y
− 2 π −1. 5π − 1 π −0.5π 0.5π 1 π 1. 5π 2 π
1
Domain: {all x ≠ ± , ± ,.. .}
Range: {y ≤ –1 and y ≥ 1}
Frequency: 1 Period: 2π
π
2
3 π
2
Figure 5.3-15
0
y = sec−^1 x
x
y
− 3 − 2 − 1123
π
Domain: {x ≤ −1 or x ≥ 1}
Range: {0 ≤ y ≤ π, y ≠ π 2 }
π
2
Figure 5.3-16
− 1
0
y = csc x
x
y
− 2 π −1. 5π − 1 π −0.5π 0.5π 1 π 1. 5π 2 π
1
Domain: {all x ≠ 0, ±π, ± 2 π}
Range: {y ≤ −1 and y ≥ 1}
Frequency: 1 Period: 2π
Figure 5.3-17
0
y = csc−^1 x
x
y
− 3 − 2 − 1123
Domain: {x ≤ −1 or x ≥ 1}
Range: { ≤ y ≤ , y ≠ 0}
π
2
π
2
−π
2
−π
2
Figure 5.3-18