Penyelesaian dari pertidaksamaan 1 + 2 cos ⁡ 2 x > 0 1+\sqrt{2}\cos2x\ >0 1 + 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> cos 2 x > 0 pada interval 0 ≤ x ≤ π 0^{\ }\le x\le\pi 0 ≤ x ≤ π adalah...

0 < x < 3 8 π ; 5 8 π < x < π 0<x<\frac{3}{8}\pi\ \ \ \ ;\ \frac{5}{8}\pi<x<\pi 0 < x < 8 3 π ; 8 5 π < x < π

π 4 < x < 3 4 π \frac{\pi}{4}\ <x\ <\ \frac{3}{4}\pi 4 π < x < 4 3 π ; 5 4 π < x < π \frac{5}{4}\pi<x<\pi^{ } 4 5 π < x < π

0 < x < 1 4 π ; 3 4 π < x < 5 4 π 0^{ }<x<\frac{1}{4}\pi\ ;\ \ \frac{3}{4}\pi<x<\frac{5}{4}\pi 0 < x < 4 1 π ; 4 3 π < x < 4 5 π

π 4 < x < 5 8 π \frac{\pi}{4}<x<\frac{5}{8}\pi 4 π < x < 8 5 π

3 8 π < x < 5 8 π \frac{3}{8}\pi<x<\frac{5}{8}\pi 8 3 π < x < 8 5 π

Penyelesaian dari pertidaksamaan ( 2 sin ⁡ 2 x ) − 1 ≥ 0 \left(2\sin2x\right)\ -\ 1\ \ge0 ( 2 sin 2 x ) − 1 ≥ 0 pada interval 0 o ≤ x ≤ 36 0 o 0^o\le x\le360^o 0 o ≤ x ≤ 3 6 0 o adalah...

1 5 o ≤ x ≤ 7 5 o ; 19 5 o ≤ x ≤ 25 5 o 15^o\ \le x\le75^{o\ \ };\ \ 195^o\le x\le255^o 1 5 o ≤ x ≤ 7 5 o ; 1 9 5 o ≤ x ≤ 2 5 5 o

2 5 o ≤ x ≤ 6 5 o ; 18 5 o ≤ x ≤ 24 5 o 25^o\le x\le65^o\ \ ;\ \ 185^o\le x\le245^o 2 5 o ≤ x ≤ 6 5 o ; 1 8 5 o ≤ x ≤ 2 4 5 o

0 o ≤ x ≤ 2 5 o ; 18 5 o ≤ x ≤ 27 0 o 0^o\le x\le25^o\ \ ;\ \ 185^o\le x\le270^o 0 o ≤ x ≤ 2 5 o ; 1 8 5 o ≤ x ≤ 2 7 0 o

4 5 o ≤ x ≤ 13 5 o ; 22 5 o ≤ x ≤ 36 0 o 45^o\le x\le135^{o\ \ };\ \ 225^o\le x\le360^o 4 5 o ≤ x ≤ 1 3 5 o ; 2 2 5 o ≤ x ≤ 3 6 0 o

1 5 o ≤ x ≤ 25 5 o 15^o\ \le x\le255^o 1 5 o ≤ x ≤ 2 5 5 o

Penyelesaian dari pertidaksamaan cos ⁡ x . sin ⁡ x ≤ 0 p a d a i n t e r v a l 0 o ≤ x ≤ 18 0 o \cos x.\sin x\le0\ pada\ interval\ 0^o\le x\le180^o cos x . sin x ≤ 0 p a d a i n t e r v a l 0 o ≤ x ≤ 1 8 0 o adalah...

9 0 o ≤ x ≤ 18 0 o 90^o\le x\le180^o 9 0 o ≤ x ≤ 1 8 0 o

0 o ≤ x ≤ 9 0 o 0^o\le x\le90^o 0 o ≤ x ≤ 9 0 o

0 o ≤ x ≤ 6 0 o 0^o\le x\le60^o 0 o ≤ x ≤ 6 0 o

0 o ≤ x ≤ 4 5 o 0^o\le x\le45^o 0 o ≤ x ≤ 4 5 o

6 0 o ≤ x ≤ 18 0 o 60^o\le x\le180^o 6 0 o ≤ x ≤ 1 8 0 o

Penyelesaian dari pertidaksamaan 1 − 2 sin ⁡ 2 x ≤ 0 1-\sqrt{2}\ \sin2x\ \le0 1 − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> sin 2 x ≤ 0 pada interval 0 ≤ x ≤ π 0\le x\le\pi 0 ≤ x ≤ π adalah

1 8 π ≤ x ≤ 3 8 π \frac{1}{8}\pi\le x\le\frac{3}{8}\pi 8 1 π ≤ x ≤ 8 3 π

1 8 π ≤ x ≤ π \frac{1}{8}\pi\le x\le\pi 8 1 π ≤ x ≤ π

1 6 π ≤ x ≤ 3 4 π \frac{1}{6}\pi\le x\le\frac{3}{4}\pi 6 1 π ≤ x ≤ 4 3 π

0 ≤ x ≤ 1 8 π 0\le x\le\frac{1}{8}\pi 0 ≤ x ≤ 8 1 π

3 8 π ≤ x ≤ π \frac{3}{8}\pi\le x\le\pi 8 3 π ≤ x ≤ π

Penyelesaian dari cos ⁡ ( 2 x + 3 0 o ) ≥ 1 2 \cos\left(2x+30^o\right)\ \ge\frac{1}{2} cos ( 2 x + 3 0 o ) ≥ 2 1 pada interval 0 o ≤ x ≤ 18 0 o 0^o\le x\le180^o 0 o ≤ x ≤ 1 8 0 o adalah...

0 o ≤ x ≤ 1 5 o ; 13 5 o ≤ x ≤ 18 0 o 0^o\le x\le15^o\ \ ;\ 135^o\le x\le180^o 0 o ≤ x ≤ 1 5 o ; 1 3 5 o ≤ x ≤ 1 8 0 o

1 5 o ≤ x ≤ 3 0 o ; 13 5 o ≤ x ≤ 18 0 o 15^o\le x\le30^o\ \ ;\ 135^o\le x\le180^o 1 5 o ≤ x ≤ 3 0 o ; 1 3 5 o ≤ x ≤ 1 8 0 o

12 0 o ≤ x ≤ 18 0 o 120^o\le x\le180^o 1 2 0 o ≤ x ≤ 1 8 0 o

1 5 o ≤ x ≤ 15 0 o 15^o\le x\le150^o 1 5 o ≤ x ≤ 1 5 0 o

1 5 o ≤ x ≤ 3 0 o ; 12 0 o ≤ x ≤ 13 5 o 15^o\le x\le30^o\ \ ;\ 120^o\le x\le135^o 1 5 o ≤ x ≤ 3 0 o ; 1 2 0 o ≤ x ≤ 1 3 5 o

Latihan soal Pertidaksamaan trigonometri XI IPA 4

Authored by Aqa Biqi

Mathematics

11th Grade

Used 8+ times

Latihan soal Pertidaksamaan trigonometri XI IPA 4

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Penyelesaian dari pertidaksamaan
$1+\sqrt{2}\cos2x\ >0$ pada interval $0^{\ }\le x\le\pi$ adalah...

$\frac{\pi}{4}\ <x\ <\ \frac{3}{4}\pi$ ; $\frac{5}{4}\pi<x<\pi^{ }$

$0^{ }<x<\frac{1}{4}\pi\ ;\ \ \frac{3}{4}\pi<x<\frac{5}{4}\pi$

$0<x<\frac{3}{8}\pi\ \ \ \ ;\ \frac{5}{8}\pi<x<\pi$

$\frac{\pi}{4}<x<\frac{5}{8}\pi$

$\frac{3}{8}\pi<x<\frac{5}{8}\pi$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Penyelesaian dari pertidaksamaan $\left(2\sin2x\right)\ -\ 1\ \ge0$ pada interval $0^o\le x\le360^o$ adalah...

$25^o\le x\le65^o\ \ ;\ \ 185^o\le x\le245^o$

$15^o\ \le x\le75^{o\ \ };\ \ 195^o\le x\le255^o$

$0^o\le x\le25^o\ \ ;\ \ 185^o\le x\le270^o$

$45^o\le x\le135^{o\ \ };\ \ 225^o\le x\le360^o$

$15^o\ \le x\le255^o$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Penyelesaian dari pertidaksamaan $\cos x.\sin x\le0\ pada\ interval\ 0^o\le x\le180^o$ adalah...

$0^o\le x\le90^o$

$0^o\le x\le60^o$

$0^o\le x\le45^o$

$90^o\le x\le180^o$

$60^o\le x\le180^o$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Penyelesaian dari peridaksamaan $2\sin^2x-5\sin x+2\ \ >0$ pada interval $0^o\le x\le360^o$ adalah...

$0^o\le x\le45^o$

$0^o\le x<30^o\ \ \ ;\ \ \ 150^o<x\le360^o$

$30^o\le x\le150^o$

$0^o\le x\le60^o\ \ \ ;\ \ \ 240^o\le x\le360^o$

$60^o\le x<240^o\$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Penyelesaian dari pertidaksamaan $1-\sqrt{2}\ \sin2x\ \le0$
pada interval $0\le x\le\pi$ adalah

$\frac{1}{8}\pi\le x\le\pi$

$\frac{1}{6}\pi\le x\le\frac{3}{4}\pi$

$\frac{1}{8}\pi\le x\le\frac{3}{8}\pi$

$0\le x\le\frac{1}{8}\pi$

$\frac{3}{8}\pi\le x\le\pi$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Penyelesaian dari $\cos\left(2x+30^o\right)\ \ge\frac{1}{2}$
pada interval $0^o\le x\le180^o$ adalah...

$0^o\le x\le15^o\ \ ;\ 135^o\le x\le180^o$

$15^o\le x\le30^o\ \ ;\ 135^o\le x\le180^o$

$120^o\le x\le180^o$

$15^o\le x\le150^o$

$15^o\le x\le30^o\ \ ;\ 120^o\le x\le135^o$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Penyelesaian dari pertidaksamaan $2\sin^2x-3\sin+1\ \le0$ pada interval $0^o\le x\le180^o$

$0^o\le x\le30^{o\ \ };\ \ \ 150^o\le x\le180^o$

$0^o\le x\le30^{o\ \ };\ \ \ 90^o\le x\le150^o$

$30^o\le x\le150^o$

$90^o\le x\le180^o$

$30^o\le x\le90^{o\ \ };\ \ \ 150^o\le x\le180^o$

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Latihan soal Pertidaksamaan trigonometri XI IPA 4

Penyelesaian dari pertidaksamaan 1+2cos⁡2x >01+\sqrt{2}\cos2x\ >01+2​cos2x >0 pada interval 0 ≤x≤π0^{\ }\le x\le\pi0 ≤x≤π adalah...

Penyelesaian dari pertidaksamaan (2sin⁡2x) − 1 ≥0\left(2\sin2x\right)\ -\ 1\ \ge0(2sin2x) − 1 ≥0 pada interval 0o≤x≤360o0^o\le x\le360^o0o≤x≤360o adalah...

Penyelesaian dari pertidaksamaan cos⁡x.sin⁡x≤0 pada interval 0o≤x≤180o\cos x.\sin x\le0\ pada\ interval\ 0^o\le x\le180^ocosx.sinx≤0 pada interval 0o≤x≤180o adalah...

Penyelesaian dari peridaksamaan 2sin⁡2x−5sin⁡x+2 >02\sin^2x-5\sin x+2\ \ >02sin2x−5sinx+2 >0 pada interval 0o≤x≤360o0^o\le x\le360^o0o≤x≤360o adalah...

Penyelesaian dari pertidaksamaan 1−2 sin⁡2x ≤01-\sqrt{2}\ \sin2x\ \le01−2​ sin2x ≤0 pada interval 0≤x≤π0\le x\le\pi0≤x≤π adalah

Penyelesaian dari cos⁡(2x+30o) ≥12\cos\left(2x+30^o\right)\ \ge\frac{1}{2}cos(2x+30o) ≥21​ pada interval 0o≤x≤180o0^o\le x\le180^o0o≤x≤180o adalah...

Penyelesaian dari pertidaksamaan 2sin⁡2x−3sin⁡+1 ≤02\sin^2x-3\sin+1\ \le02sin2x−3sin+1 ≤0 pada interval 0o≤x≤180o0^o\le x\le180^o0o≤x≤180o

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Penyelesaian dari pertidaksamaan $\cos x.\sin x\le0\ pada\ interval\ 0^o\le x\le180^o$ adalah...

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