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

Tentukan himpunan penyelesaian persamaan 2 sin ⁡ ( x + 15 ) ° = 1 \sqrt{2}\sin\left(x+15\right)\degree\ =\ 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 ( x + 1 5 ) ° = 1 untuk 0 ° ≤ x ≤ 360 ° 0\degree\le x\le360\degree 0 ° ≤ x ≤ 3 6 0 °

30 ° a t a u 120 ° 30\degree\ atau\ 120\degree 3 0 ° a t a u 1 2 0 °

45 ° a t a u 135 ° 45\degree\ atau\ 135\degree 4 5 ° a t a u 1 3 5 °

60 ° a t a u 210 ° 60\degree\ atau\ 210\degree 6 0 ° a t a u 2 1 0 °

120 ° a t a u 240 ° 120\degree\ atau\ 240\degree 1 2 0 ° a t a u 2 4 0 °

45 ° a t a u 120 ° 45\degree\ atau\ 120\degree 4 5 ° a t a u 1 2 0 °

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 °

\ Tentukan Penyelesaian Persamaan 2 cos ⁡ ( x − 20 ) ° + 1 = 0 2\ \cos\ \left(x-20\right)\degree\ +1=0 2 cos ( x − 2 0 ) ° + 1 = 0 untuk 0 ° ≤ x ≤ 360 ° 0\degree\le x\le360\degree 0 ° ≤ x ≤ 3 6 0 °

{ 140 ° , 260 ° } \left\{140\degree,260\degree\right\} { 1 4 0 ° , 2 6 0 ° }

{ 130 ° , 240 ° } \left\{130\degree,240\degree\right\} { 1 3 0 ° , 2 4 0 ° }

{ 150 ° , 270 ° } \left\{150\degree,270\degree\right\} { 1 5 0 ° , 2 7 0 ° }

{ 120 ° , 260 ° } \left\{120\degree,260\degree\right\} { 1 2 0 ° , 2 6 0 ° }

{ 140 ° , 240 ° } \left\{140\degree,240\degree\right\} { 1 4 0 ° , 2 4 0 ° }

Tentukan Himpunan Penyelesaian persamaan 2 cos ⁡ 1 2 x − 3 = 0 2\ \cos\ \frac{1}{2}x\ -\sqrt{3}=0 2 cos 2 1 x − 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"> = 0 untuk 0 ° ≤ x ≤ 360 ° 0\degree\le x\le360\degree 0 ° ≤ x ≤ 3 6 0 °

120 ° a t a u 240 ° 120\degree\ atau\ 240\degree 1 2 0 ° a t a u 2 4 0 °

150 ° a t a u 330 ° 150\degree\ atau\ 330\degree 1 5 0 ° a t a u 3 3 0 °

60 ° a t a u 240 ° 60\degree\ atau\ 240\degree 6 0 ° a t a u 2 4 0 °

120 ° a t a u 210 ° 120\degree\ atau\ 210\degree 1 2 0 ° a t a u 2 1 0 °

150 ° a t a u 240 ° 150\degree\ atau\ 240\degree 1 5 0 ° a t a u 2 4 0 °

Himpunan penyelesaian persamaan cos 2x = cos 6 0 ° 60^{\degree} 6 0 ° pada interval 0 ° ≤ x ≤ 36 0 ° 0^{\degree}\le x\le360^{\degree} 0 ° ≤ x ≤ 3 6 0 ° adalah...

{ 3 0 ° , 24 0 ° } \left\{30^{\degree},\ 240^{\degree}\right\} { 3 0 ° , 2 4 0 ° }

{ 6 0 ° , 24 0 ° } \left\{60^{\degree},240^{\degree}\right\} { 6 0 ° , 2 4 0 ° }

{ 3 0 ° , 6 0 ° , 21 0 ° } \left\{30^{\degree},\ 60^{\degree},210^{\degree}\right\} { 3 0 ° , 6 0 ° , 2 1 0 ° }

\ Himpunan penyelesaian dari tan ⁡ ⁡ x = tan ⁡ ⁡ ( 3 5 π ) \tan⁡x=\tan⁡\left(\frac{3}{5}\pi\right) tan ⁡ x = tan ⁡ ( 5 3 π ) untuk 0 ° ≤ x ≤ 2 π 0°≤x≤2π 0 ° ≤ x ≤ 2 π adalah . . .

{ 3 5 π , 8 5 π } \left\{\frac{3}{5}π,\ \frac{8}{5}π\right\} { 5 3 π , 5 8 π }

{ 3 5 π , 7 5 π } \left\{\frac{3}{5}π,\ \frac{7}{5}π\right\} { 5 3 π , 5 7 π }

{ 3 5 π , 9 5 π } \left\{\frac{3}{5}π,\ \frac{9}{5}π\right\} { 5 3 π , 5 9 π }

{ 3 5 π , 13 5 π } \left\{\frac{3}{5}π,\ \frac{13}{5}π\right\} { 5 3 π , 5 1 3 π }

{ 3 5 π , 11 5 π } \left\{\frac{3}{5}π,\ \frac{11}{5}π\right\} { 5 3 π , 5 1 1 π }

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 Himpunan penyelesaian 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 ≤ 2 π 0\ \le x\le2\pi 0 ≤ x ≤ 2 π

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

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

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

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

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 °

PERSAMAAN TRIGONOMETRI

Authored by Deli Yusmanida

Mathematics

11th Grade

Used 146+ times

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10 questions

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MULTIPLE CHOICE QUESTION

5 mins • 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

5 mins • 1 pt

Tentukan himpunan penyelesaian persamaan $\sqrt{2}\sin\left(x+15\right)\degree\ =\ 1$ untuk $0\degree\le x\le360\degree$

$30\degree\ atau\ 120\degree$

$45\degree\ atau\ 135\degree$

$60\degree\ atau\ 210\degree$

$120\degree\ atau\ 240\degree$

$45\degree\ atau\ 120\degree$

MULTIPLE CHOICE QUESTION

3 mins • 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

5 mins • 1 pt

$\$ Tentukan Penyelesaian Persamaan $2\ \cos\ \left(x-20\right)\degree\ +1=0$ untuk $0\degree\le x\le360\degree$

$\left\{130\degree,240\degree\right\}$

$\left\{150\degree,270\degree\right\}$

$\left\{120\degree,260\degree\right\}$

$\left\{140\degree,240\degree\right\}$

$\left\{140\degree,260\degree\right\}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tentukan Himpunan Penyelesaian persamaan $2\ \cos\ \frac{1}{2}x\ -\sqrt{3}=0$ untuk $0\degree\le x\le360\degree$

$120\degree\ atau\ 240\degree$

$150\degree\ atau\ 330\degree$

$60\degree\ atau\ 240\degree$

$120\degree\ atau\ 210\degree$

$150\degree\ atau\ 240\degree$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Himpunan penyelesaian persamaan cos 2x = cos $60^{\degree}$ pada interval $0^{\degree}\le x\le360^{\degree}$ adalah...

$\left\{30^{\degree},\ 240^{\degree}\right\}$

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

$\left\{30^{\degree},\ 60^{\degree},210^{\degree}\right\}$

$\left\{30^{\degree},\ 150^{\degree},\ 210^{\degree},\ 330^{\degree}\right\}$

$\left\{30^{\degree},\ 60^{\degree},\ 210^{\degree},\ 240^{\degree},\ 270^{\degree}\right\}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\$ Himpunan penyelesaian dari $\tan⁡x=\tan⁡\left(\frac{3}{5}\pi\right)$ untuk $0°≤x≤2π$ adalah . . .

$\left\{\frac{3}{5}π,\ \frac{7}{5}π\right\}$

$\left\{\frac{3}{5}π,\ \frac{8}{5}π\right\}$

$\left\{\frac{3}{5}π,\ \frac{9}{5}π\right\}$

$\left\{\frac{3}{5}π,\ \frac{13}{5}π\right\}$

$\left\{\frac{3}{5}π,\ \frac{11}{5}π\right\}$

MULTIPLE CHOICE QUESTION

3 mins • 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

3 mins • 1 pt

Tentukan Himpunan penyelesaian persamaan $\tan\ x=\ \frac{1}{3}\sqrt{3}$ untuk $0\ \le x\le2\pi$

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

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

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

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

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

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

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

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

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

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

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

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PERSAMAAN TRIGONOMETRI

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

Tentukan himpunan penyelesaian persamaan 2sin⁡(x+15)° = 1\sqrt{2}\sin\left(x+15\right)\degree\ =\ 12​sin(x+15)° = 1 untuk 0°≤x≤360°0\degree\le x\le360\degree0°≤x≤360°

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 . . .

\ Tentukan Penyelesaian Persamaan 2 cos⁡ (x−20)° +1=02\ \cos\ \left(x-20\right)\degree\ +1=02 cos (x−20)° +1=0 untuk 0°≤x≤360°0\degree\le x\le360\degree0°≤x≤360°

Tentukan Himpunan Penyelesaian persamaan 2 cos⁡ 12x −3=02\ \cos\ \frac{1}{2}x\ -\sqrt{3}=02 cos 21​x −3​=0 untuk 0°≤x≤360°0\degree\le x\le360\degree0°≤x≤360°

Himpunan penyelesaian persamaan cos 2x = cos 60°60^{\degree}60° pada interval 0°≤x≤360°0^{\degree}\le x\le360^{\degree}0°≤x≤360° adalah...

\ Himpunan penyelesaian dari tan⁡⁡x=tan⁡⁡(35π)\tan⁡x=\tan⁡\left(\frac{3}{5}\pi\right)tan⁡x=tan⁡(53​π) untuk 0°≤x≤2π0°≤x≤2π0°≤x≤2π 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 Himpunan penyelesaian persamaan tan⁡ x= 133\tan\ x=\ \frac{1}{3}\sqrt{3}tan x= 31​3​ untuk 0 ≤x≤2π0\ \le x\le2\pi0 ≤x≤2π

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 ....

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

Tentukan himpunan penyelesaian persamaan $\sqrt{2}\sin\left(x+15\right)\degree\ =\ 1$ untuk $0\degree\le x\le360\degree$

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

$\$ Tentukan Penyelesaian Persamaan $2\ \cos\ \left(x-20\right)\degree\ +1=0$ untuk $0\degree\le x\le360\degree$

Tentukan Himpunan Penyelesaian persamaan $2\ \cos\ \frac{1}{2}x\ -\sqrt{3}=0$ untuk $0\degree\le x\le360\degree$

Himpunan penyelesaian persamaan cos 2x = cos $60^{\degree}$ pada interval $0^{\degree}\le x\le360^{\degree}$ adalah...

$\$ Himpunan penyelesaian dari $\tan⁡x=\tan⁡\left(\frac{3}{5}\pi\right)$ untuk $0°≤x≤2π$ adalah . . .

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

Tentukan Himpunan penyelesaian persamaan $\tan\ x=\ \frac{1}{3}\sqrt{3}$ untuk $0\ \le x\le2\pi$

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