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JUMLAH DAN SELISIH DUA SUDUT

Authored by Happy Kuntum

Mathematics

11th Grade

Used 89+ times

JUMLAH DAN SELISIH DUA SUDUT
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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Nilai dari  tan⁡75°\tan75\degree  adalah...

 −2+3-2+\sqrt{3}  

 −2−3-2-\sqrt{3}  

 2+32+\sqrt{3}  

 2−32-\sqrt{3}  

 3+23+\sqrt{2}  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Nilai dari  cos⁡15°\cos15\degree  adalah ...

 14(6−2)\frac{1}{4}\left(\sqrt{6}-\sqrt{2}\right)  

 14(2+6)\frac{1}{4}\left(\sqrt{2}+\sqrt{6}\right)  

 14(−2−6)\frac{1}{4}\left(-\sqrt{2}-\sqrt{6}\right)  

 12(2+6)\frac{1}{2}\left(\sqrt{2}+\sqrt{6}\right)  

 12(6−2)\frac{1}{2}\left(\sqrt{6}-\sqrt{2}\right)  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Diberikan dua buah sudut A dan B dengan nilai sinus masing-masing adalah  sin⁡A=45\sin A=\frac{4}{5}  dan  sin⁡B=1213\sin B=\frac{12}{13} . Sudut A adalah sudut tumpul sedangkan sudut B adalah sudut lancip. Nilai dari  sin⁡(A−B)\sin\left(A-B\right)  adalah...

 5665\frac{56}{65}  

 −5665-\frac{56}{65}  

 1665\frac{16}{65}  

 −1665-\frac{16}{65}  

 6556\frac{65}{56}  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Nilai dari  cos⁡165°\cos165\degree  adalah....

 −2+64-\frac{\sqrt{2}+\sqrt{6}}{4}  

 −2−64-\frac{\sqrt{2}-\sqrt{6}}{4}  

 2+64\frac{\sqrt{2}+\sqrt{6}}{4}  

 3−64\frac{\sqrt{3}-\sqrt{6}}{4}  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Diketahui  sin⁡x=35\sin x=\frac{3}{5}  dengan sudut x adalah lancip. Nilai dari  sin⁡2x\sin2x  adalah...

 2524\frac{25}{24}  

 −2524-\frac{25}{24}  

 −2425-\frac{24}{25}  

 725\frac{7}{25}  

 2425\frac{24}{25}  

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Diketahui  sin⁡α=1513, α\sin\alpha=\frac{1}{5}\sqrt{13},\ \alpha  sudut lancip. Nilai dari  cos⁡2α=...\cos2\alpha=...  

 −125-\frac{1}{25}  

-1

 −12-\frac{1}{2}  

 −15-\frac{1}{5}  

1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Rumus sinus jumlah dua sudut...

sin⁡ (α+β)=sin⁡ α cos⁡ β+cos⁡ α sin⁡ β\sin\ \left(\alpha+\beta\right)=\sin\ \alpha\ \cos\ \beta+\cos\ \alpha\ \sin\ \beta

sin⁡ (α−β)=sin⁡α cos⁡ β−cos⁡ α sin⁡ β\sin\ \left(\alpha-\beta\right)=\sin\alpha\ \cos\ \beta-\cos\ \alpha\ \sin\ \beta

sin⁡ (α+β)=sin⁡ α cos⁡ β−cos⁡ α sin⁡ β\sin\ \left(\alpha+\beta\right)=\sin\ \alpha\ \cos\ \beta-\cos\ \alpha\ \sin\ \beta

sin⁡ (α−β)=sin⁡ α cos⁡ β+cos⁡ α sin⁡ β\sin\ \left(\alpha-\beta\right)=\sin\ \alpha\ \cos\ \beta+\cos\ \alpha\ \sin\ \beta

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