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GraphsofSineandCosineTaskCards.pdf o ne tw o th re e f o ur D et e rm in e t he k ey c h ar ac te ris tic s o f t h e tr ig o n o m et ric f u nc tio n b el o w . T h e n, g ra p h t h e fu nc tio n....

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GraphsofSineandCosineTaskCards.pdf
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Answered Same Day May 24, 2021

Solution

Rajeswari answered on May 24 2021
136 Votes
Characteristics of a trigonometric function
1)
Domain: R
Range: [−1.5,-0.5]
Period: 2π rad
Continuity: It is continuous on R
Increasing on: …∪(−π,0)∪(π,2π)∪…
Decreasing on: …∪(0,π)∪(2π,3π)∪…
Maxima at: { 2kπ, k∈Z}
Minima at: {(2k+1)π, k∈Z}
Parity: Neither odd nor even function
Points of intersection with the axis Ox: Nil
2)
1. Domain: R
1. Range: [1,3]
2. Period: 2π rad
3. Continuity: It is continuous on R
4. Increasing on: …∪(−3π/2, -π/2)∪( π/2,3 π/2)∪…
5. Decreasing on: …∪(- π/2,π/2)∪( 3π/2, 5π/2)∪…
6. Maxima at: { (2k+1)π/2,, k∈Z}
7. Minima at: {(k)π, k∈Z}
8. Parity: Neither odd nor even function
9. Points of intersection with the axis Ox: Nil
3)
Domain: R
Range: [−2,2]
Period: 2π/3 rad
Continuity: It is continuous on R
Increasing on: …∪(−π/2,-...
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