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Rumus Sinus Jumlah dan Selisih Dua Sudut

Authored by Hemi mawaddah

Mathematics

11th Grade

Rumus  Sinus Jumlah dan Selisih Dua Sudut
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10 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

2.

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 (αβ)=sinα cos βcos α sin β\sin\ \left(\alpha-\beta\right)=\sin\alpha\ \cos\ \beta-\cos\ \alpha\ \sin\ \beta

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

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

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 sin 60° cos 30°cos 60° sin 30°=...\sin\ 60\degree\ \cos\ 30\degree-\cos\ 60\degree\ \sin\ 30\degree=...  

 123\frac{1}{2}\sqrt{3}  

1

 12\frac{1}{2}  

 122\frac{1}{2}\sqrt{2}  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 sin(105°)=...\sin\left(105\degree\right)=...  

 \frac{1}{4}\sqrt{8}  

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

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

 14(26)\frac{1}{4}\left(\sqrt{2}-\sqrt{6}\right)  

 14(62)\frac{1}{4}\left(\sqrt{6}-\sqrt{2}\right)  

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 sin75°cos15°cos75°sin15°=...\sin75\degree\cos15\degree-\cos75\degree\sin15\degree=...  

0

1

 12\frac{1}{2}  

 122\frac{1}{2}\sqrt{2}  

 123\frac{1}{2}\sqrt{3}  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 sin285°=...\sin285\degree=...  

 14(62)-\frac{1}{4}\left(\sqrt{6}-\sqrt{2}\right)  

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

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

 14(26)-\frac{1}{4}\left(\sqrt{2}-\sqrt{6}\right)  

 14(62)\frac{1}{4}\left(\sqrt{6}-\sqrt{2}\right)  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 sin 195°=...\sin\ 195\degree=...  

 14(26)\frac{1}{4}\left(\sqrt{2}-\sqrt{6}\right)  

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

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

 14(62)\frac{1}{4}\left(\sqrt{6}-\sqrt{2}\right)  

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