Penyelesaian dari cos x = − 1 2 3 -\frac{1}{2}\sqrt{3} − 2 1 3 <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"> dengan 0 ° ≤ x ≤ 360 ° 0\degree\le x\le360\degree 0 ° ≤ x ≤ 3 6 0 ° adalah ....

x = 150 ° , 210 ° x=150\degree,\ 210\degree x = 1 5 0 ° , 2 1 0 °

x = 30 ° , 150 ° x=30\degree,\ 150\degree x = 3 0 ° , 1 5 0 °

x = 120 ° , 210 ° x=120\degree,\ 210\degree x = 1 2 0 ° , 2 1 0 °

x = 150 ° , 300 ° x=150\degree,\ 300\degree x = 1 5 0 ° , 3 0 0 °

x = 150 ° , 330 ° x=150\degree,\ 330\degree x = 1 5 0 ° , 3 3 0 °

Penyelesaian dari persamaan tan ⁡ x = 1 3 3 \tan x=\frac{1}{3}\sqrt{3} tan x = 3 1 3 <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"> untuk 0 ≤ x ≤ 3 π 0\le x\le3\pi 0 ≤ x ≤ 3 π adalah ....

x = π 6 , 7 π 6 , 13 π 6 x=\frac{\pi}{6},\frac{7\pi}{6},\frac{13\pi}{6} x = 6 π , 6 7 π , 6 1 3 π

x = π 6 , π 3 , 7 π 6 , 4 π 6 x=\frac{\pi}{6},\frac{\pi}{3},\frac{7\pi}{6},\frac{4\pi}{6} x = 6 π , 3 π , 6 7 π , 6 4 π

x = π 6 , 5 π 6 , 7 π 6 x=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6} x = 6 π , 6 5 π , 6 7 π

x = π 3 , 4 π 3 x=\frac{\pi}{3},\frac{4\pi}{3} x = 3 π , 3 4 π

x = π 6 , 5 π 6 , 13 π 6 x=\frac{\pi}{6},\frac{5\pi}{6},\frac{13\pi}{6} x = 6 π , 6 5 π , 6 1 3 π

Himpunan penyelesaian dari tan ⁡ ⁡ ( x − 45 ° ) = tan ⁡ ⁡ 30 ° \tan⁡(x-45°)=\tan⁡30° tan ⁡ ( x − 4 5 ° ) = tan ⁡ 3 0 ° untuk 0 ° ≤ x ≤ 360 ° 0°≤x≤360° 0 ° ≤ x ≤ 3 6 0 ° adalah . . .

{ 75 ° , 225 ° } \left\{75°,225°\right\} { 7 5 ° , 2 2 5 ° }

{ 25 ° , 105 ° } \left\{25°,105°\right\} { 2 5 ° , 1 0 5 ° }

{ 25 ° , 305 ° } \left\{25°,305°\right\} { 2 5 ° , 3 0 5 ° }

{ 75 ° , 105 ° } \left\{75°,105°\right\} { 7 5 ° , 1 0 5 ° }

{ 75 ° , 205 ° } \left\{75°,205°\right\} { 7 5 ° , 2 0 5 ° }

Himpunan penyelesaian dari tan ⁡ ⁡ ( x + 25 ° ) = tan ⁡ ⁡ 50 ° \tan⁡(x+25°)=\tan⁡50° tan ⁡ ( x + 2 5 ° ) = tan ⁡ 5 0 ° untuk 0 ° ≤ x ≤ 360 ° 0°≤x≤360° 0 ° ≤ x ≤ 3 6 0 ° adalah . . .

{ 25 ° , 205 ° } \left\{25°,205°\right\} { 2 5 ° , 2 0 5 ° }

{ 25 ° , 105 ° } \left\{25°,105°\right\} { 2 5 ° , 1 0 5 ° }

{ 25 ° , 305 ° } \left\{25°,305°\right\} { 2 5 ° , 3 0 5 ° }

{ 75 ° , 105 ° } \left\{75°,105°\right\} { 7 5 ° , 1 0 5 ° }

{ 75 ° , 205 ° } \left\{75°,205°\right\} { 7 5 ° , 2 0 5 ° }

Tentukan penyelesaian persamaan 2 sin ⁡ x − 2 = 0 2\ \sin\ x\ -\ \sqrt{2}=0 2 sin x − 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"> = 0 untuk 0 ≤ x ≤ 2 π 0\ \le x\le2\pi 0 ≤ x ≤ 2 π

π 4 a t a u 3 π 4 \frac{\pi}{4}\ atau\ \frac{3\pi}{4} 4 π a t a u 4 3 π

3 π 4 a t a u 5 π 4 \frac{3\pi}{4}\ atau\ \frac{5\pi}{4} 4 3 π a t a u 4 5 π

π 6 a t a u 5 π 6 \frac{\pi}{6}\ atau\ \frac{5\pi}{6} 6 π a t a u 6 5 π

5 π 6 a t a u 7 π 6 \frac{5\pi}{6}\ atau\ \frac{7\pi}{6} 6 5 π a t a u 6 7 π

− π 4 a t a u 3 π 4 -\frac{\pi}{4}\ atau\ \frac{3\pi}{4} − 4 π a t a u 4 3 π

Penyelesaian persamaan sin ⁡ x = 1 2 2 \sin\ x=\frac{1}{2}\sqrt{2\ } sin x = 2 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"> untuk 0 ° ≤ x ≤ 360 ° 0\degree\le x\le360\degree 0 ° ≤ x ≤ 3 6 0 ° adalah . . .

x = 45 ° , 135 ° x=45\degree,\ 135\degree x = 4 5 ° , 1 3 5 °

x = 45 ° , 225 ° x=45\degree,\ 225\degree x = 4 5 ° , 2 2 5 °

x = 45 ° , 315 ° x=45\degree,\ 315\degree x = 4 5 ° , 3 1 5 °

x = 135 ° , 225 ° x=135\degree,\ 225\degree x = 1 3 5 ° , 2 2 5 °

x = 225 ° , 315 ° x=225\degree,\ 315\degree x = 2 2 5 ° , 3 1 5 °

Himpunan penyelesaian persamaan sinx = sin 3 0 ° 30^{\degree} 3 0 ° pada interval 0 ° ≤ x ≤ 36 0 ° 0^{\degree}\le x\le360^{\degree} 0 ° ≤ x ≤ 3 6 0 ° adalah...

30 ° 30\degree 3 0 ° dan 15 0 ° 150^{\degree} 1 5 0 °

3 0 ° 30^{\degree} 3 0 ° dan 60 ° 60\degree 6 0 °

30 ° 30\degree 3 0 ° dan 90 ° 90\degree 9 0 °

30 ° 30\degree 3 0 ° dan 12 0 ° 120^{\degree} 1 2 0 °

3 0 ° 30^{\degree} 3 0 ° dan 21 0 ° 210^{\degree} 2 1 0 °

himpunan penyelesaian dari sin ⁡ x = − 1 2 \sin x=-\frac{1}{2} sin x = − 2 1 untuk 0 ° ≤ x ≤ 360 ° 0\degree\le x\le360\degree 0 ° ≤ x ≤ 3 6 0 ° adalah ....

{ 210 ° , 330 ° } \left\{210\degree,330\degree\right\} { 2 1 0 ° , 3 3 0 ° }

{ 60 ° , 240 ° } \left\{60\degree,240\degree\right\} { 6 0 ° , 2 4 0 ° }

{ 30 ° , 150 ° } \left\{30\degree,150\degree\right\} { 3 0 ° , 1 5 0 ° }

{ 120 ° , 210 ° } \left\{120\degree,210\degree\right\} { 1 2 0 ° , 2 1 0 ° }

{ 60 ° , 120 ° } \left\{60\degree,120\degree\right\} { 6 0 ° , 1 2 0 ° }

Persamaan Trigonometri

Authored by Muzayyin Ahmad

Mathematics

11th Grade

Used 1K+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Penyelesaian dari cos x = $-\frac{1}{2}\sqrt{3}$ dengan $0\degree\le x\le360\degree$ adalah ....

$x=30\degree,\ 150\degree$

$x=120\degree,\ 210\degree$

$x=150\degree,\ 210\degree$

$x=150\degree,\ 300\degree$

$x=150\degree,\ 330\degree$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Penyelesaian dari persamaan $\tan x=\frac{1}{3}\sqrt{3}$ untuk $0\le x\le3\pi$ adalah ....

$x=\frac{\pi}{6},\frac{\pi}{3},\frac{7\pi}{6},\frac{4\pi}{6}$

$x=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6}$

$x=\frac{\pi}{3},\frac{4\pi}{3}$

$x=\frac{\pi}{6},\frac{5\pi}{6},\frac{13\pi}{6}$

$x=\frac{\pi}{6},\frac{7\pi}{6},\frac{13\pi}{6}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Himpunan penyelesaian dari $\tan⁡(x-45°)=\tan⁡30°$ untuk $0°≤x≤360°$ adalah . . .

$\left\{25°,105°\right\}$

$\left\{75°,225°\right\}$

$\left\{25°,305°\right\}$

$\left\{75°,105°\right\}$

$\left\{75°,205°\right\}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Penyelesaian dari persamaan $2\sin^2x-\sin x-1=0$ untuk $180\degree\le x\le360\degree$ adalah ...

$150\degree$ dan $180\degree$

$180\degree$ dan $210\degree$

$210\degree$ dan $330\degree$

$240\degree$ dan $270\degree$

$300\degree$ dan $330\degree$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Himpunan penyelesaian dari $\tan⁡(x+25°)=\tan⁡50°$ untuk $0°≤x≤360°$ adalah . . .

$\left\{25°,105°\right\}$

$\left\{25°,205°\right\}$

$\left\{25°,305°\right\}$

$\left\{75°,105°\right\}$

$\left\{75°,205°\right\}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tentukan penyelesaian persamaan $2\ \sin\ x\ -\ \sqrt{2}=0$ untuk $0\ \le x\le2\pi$

$\frac{3\pi}{4}\ atau\ \frac{5\pi}{4}$

$\frac{\pi}{6}\ atau\ \frac{5\pi}{6}$

$\frac{\pi}{4}\ atau\ \frac{3\pi}{4}$

$\frac{5\pi}{6}\ atau\ \frac{7\pi}{6}$

$-\frac{\pi}{4}\ atau\ \frac{3\pi}{4}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Penyelesaian persamaan $\sin\ x=\frac{1}{2}\sqrt{2\ }$ untuk $0\degree\le x\le360\degree$ adalah . . .

$x=45\degree,\ 135\degree$

$x=45\degree,\ 225\degree$

$x=45\degree,\ 315\degree$

$x=135\degree,\ 225\degree$

$x=225\degree,\ 315\degree$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Himpunan penyelesaian persamaan sinx = sin $30^{\degree}$ pada interval $0^{\degree}\le x\le360^{\degree}$ adalah...

$30^{\degree}$ dan $60\degree$

$30\degree$ dan $90\degree$

$30\degree$ dan $120^{\degree}$

$30\degree$ dan $150^{\degree}$

$30^{\degree}$ dan $210^{\degree}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Diketahui $\cos3x=\frac{1}{2}$ . Nilai x dapat diperoleh menggunakan cara ....

$x=60^0+k.360^0$

$x=10^0+k.120^0$

$x=30^0+k.360^0$

$x=20^0+k.120^0$

$x=60^0+k.180^0$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

himpunan penyelesaian dari $\sin x=-\frac{1}{2}$ untuk $0\degree\le x\le360\degree$ adalah ....

$\left\{60\degree,240\degree\right\}$

$\left\{30\degree,150\degree\right\}$

$\left\{210\degree,330\degree\right\}$

$\left\{120\degree,210\degree\right\}$

$\left\{60\degree,120\degree\right\}$

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Persamaan Trigonometri

Penyelesaian dari cos x = −123-\frac{1}{2}\sqrt{3}−21​3​ dengan 0°≤x≤360°0\degree\le x\le360\degree0°≤x≤360° adalah ....

Penyelesaian dari persamaan tan⁡x=133\tan x=\frac{1}{3}\sqrt{3}tanx=31​3​ untuk 0≤x≤3π0\le x\le3\pi0≤x≤3π adalah ....

Himpunan penyelesaian dari tan⁡⁡(x−45°)=tan⁡⁡30°\tan⁡(x-45°)=\tan⁡30°tan⁡(x−45°)=tan⁡30° untuk 0°≤x≤360°0°≤x≤360°0°≤x≤360° adalah . . .

Penyelesaian dari persamaan 2sin⁡2x−sin⁡x−1=02\sin^2x-\sin x-1=02sin2x−sinx−1=0 untuk 180°≤x≤360°180\degree\le x\le360\degree180°≤x≤360° adalah ...

Himpunan penyelesaian dari tan⁡⁡(x+25°)=tan⁡⁡50°\tan⁡(x+25°)=\tan⁡50°tan⁡(x+25°)=tan⁡50° untuk 0°≤x≤360°0°≤x≤360°0°≤x≤360° adalah . . .

Tentukan penyelesaian persamaan 2 sin⁡ x − 2=02\ \sin\ x\ -\ \sqrt{2}=02 sin x − 2​=0 untuk 0 ≤x≤2π0\ \le x\le2\pi0 ≤x≤2π

Penyelesaian persamaan sin⁡ x=122 \sin\ x=\frac{1}{2}\sqrt{2\ }sin x=21​2 ​ untuk 0°≤x≤360°0\degree\le x\le360\degree0°≤x≤360° adalah . . .

Himpunan penyelesaian persamaan sinx = sin 30°30^{\degree}30° pada interval 0°≤x≤360°0^{\degree}\le x\le360^{\degree}0°≤x≤360° adalah...

Diketahui cos⁡3x=12\cos3x=\frac{1}{2}cos3x=21​ . Nilai x dapat diperoleh menggunakan cara ....

himpunan penyelesaian dari sin⁡x=−12\sin x=-\frac{1}{2}sinx=−21​ untuk 0°≤x≤360°0\degree\le x\le360\degree0°≤x≤360° adalah ....

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