Question

2,3,4 its okay without the graphic .

Answer 1

F (x) = 2 cos x dengan -π ≤ x ≤ π
Nilai yang masuk :
- 180 derajat -> 2 cos(-180) = 2.(-1) = -2
- 150 derajat -> 2 cos(-150) = 2.(-1/2√3) = -√3
- 135 derajat -> 2 cos(-135) = 2.(-1/2√2) = -√2
- 120 derajat -> 2 cos(-120) = 2.(-1/2) = -1
- 90 derajat -> 2 cos(-90) = 2.(0) = 0
- 60 derajat -> 2 cos(-60) = 2.1/2 = 1
- 45 derajat -> 2 cos(-45) = 2.1/2√2 = √2
- 30 derajat -> 2 cos(-30) = 2.1/2√3 = √3
0 derajat -> 2 cos0 = 2.1 = 2
30 derajat -> 2 cos30 = 2.1/2√3 = √3
45 derajat -> 2 cos45 = 2.1/2√2 = √2
60 derajat -> 2 cos60 = 2.1/2 = 1
90 derajat -> 2 cos90 = 2.0 = 0
120 derajat -> 2 cos120 = 2.(-1/2) = -1
135 derajat -> 2 cos135 = 2.(-1/2√2) = -√2
150 derajat -> 2 cos150 = 2.(-1/2√3) = -√3
180 derajat -> 2 cos180 = 2.(-1) = -2

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f(x) = tan (x+45) dengan 0 ≤ x ≤ 2π
Nilai yang masuk :
0 derajat -> tan (0+45) -> tan 45 = 1
30 derajat -> tan (30+45) -> tan 75 = (1/3√3 + 1 / 1 - 1/3√3)
45 derajat -> tan (45+45) -> tan 90 = tak hingga
60 derajat -> tan (60+45) -> tan 105 = (√3 + 1 / 1 - √3)
90 derajat -> tan (90+45) -> tan 135 = -1
120 derajat -> tan (120+45) -> tan 165 = (-√3 + 1 / 1 +√3)
135 derajat -> tan (135+45) -> tan 180 = 0
150 derajat -> tan (150+45) -> tan 195 = (-1/3√3 + 1 / 1 + 1/3√3)
180 derajat -> tan (180+45) -> tan 225 = 1
210 derajat -> tan (210+45) -> tan 255 = (1/3√3 + 1 / 1 - 1/3√3)
225 derajat -> tan (225+45) -> tan 270 = tak hingga
240 derajat -> tan (240+45) -> tan 285 = (√3 + 1 / 1 - √3)
270 derajat -> tan (270+45) -> tan 315 = -1
300 derajat -> tan (300+45) -> tan 345 = (-√3 + 1 / 1 +√3)
315 derajat -> tan (315+45) -> tan 360 = 0
330 derajat -> tan (330+45) -> tan 375 = (-1/3√3 + 1 / 1 + 1/3√3)
360 derajat -> tan (360+45) -> tan 405 = 1

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1/3 cos x dengan 0 ≤ x ≤ 2π
Nilai yang memenuhi

0 derajat -> 1/3 cos0 = 1/3.1 = 1/3
30 derajat -> 1/3 cos30 = 1/3 . 1/2√3 = 1/6√3
45 derajat -> 1/3 cos45 = 1/3 . 1/2√2 = 1/6√2
60 derajat -> 1/3 cos60 = 1/3 . 1/2 = 1/6
90 derajat -> 1/3 cos90 = 1/3 . 0 = 0
120 derajat -> 1/3 cos120 = 1/3 . -1/2 = -1/6
135 derajat -> 1/3 cos135 = 1/3 . -1/2√2 = -1/6√2
150 derajat -> 1/3 cos150 = 1/3 . -1/2√3 = -1/6√3
180 derajat -> 1/3 cos180 = 1/3 . -1 = -1/3
210 derajat -> 1/3 cos210 = 1/3 . -1/2√3 = -1/6√3
225 derajat -> 1/3 cos225 = 1/3 . -1/2√2 = -1/6√2
240 derajat -> 1/3 cos240 = 1/3 . -1/2 = -1/6
270 derajat -> 1/3 cos270 = 1/3 . 0 = 0
300 derajat -> 1/3 cos300 = 1/3 . 1/2 = 1/6
315 derajat -> 1/3 cos315 = 1/3 . 1/2√2 = 1/6√2
330 derajat -> 1/3 cos330 = 1/3 . 1/2√3 = 1/6√3
360 derajat -> 1/3 cos360 = 1/3.1 = 1/3