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Trigonometri kelas 11

Total questions: 10

Worksheet time: 42mins

Name
Class
Date
1.

Jika  tan⁡α=724 \tan\alpha=\frac{7}{24}\   dan  tan⁡β=43\tan\beta=\frac{4}{3}   dengan  α\alpha  dan  β\beta  sudut lancip, hasil dari  cos⁡(α+β)=....\cos\left(\alpha+\beta\right)=....  

a)

 44125\frac{44}{125}  

b)

 75125\frac{75}{125}  

c)

 96125\frac{96}{125}  

d)

 115125\frac{115}{125}  

2.

Pada suatu segitiga siku-siku ABC dengan siku-siku di C berlaku  \cos A.\cos B=\frac{1}{2} . Nilai dari  cos⁡(α−β)=....\cos\left(\alpha-\beta\right)=....  


a)

 −1-1  

b)

 −12-\frac{1}{2}  

c)

 00  

d)

 11  

3.

Dalam  \Delta ABC  , diketahui  sin⁡A=35\sin A=\frac{3}{5}  dan  tan⁡B=34\tan B=\frac{3}{4}  . Nilai  sin⁡C=....\sin C=....  


a)

 −1-1  

b)

 525\frac{5}{25}  

c)

 1225\frac{12}{25}  

d)

 2425\frac{24}{25}  

4.

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

a)

 2524\frac{25}{24}  

b)

 −2524-\frac{25}{24}  

c)

 −2425-\frac{24}{25}  

d)

 725\frac{7}{25}  

e)

 2425\frac{24}{25}  

5.

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

a)

 −125-\frac{1}{25}  

b)

-1

c)

 −12-\frac{1}{2}  

d)

 −15-\frac{1}{5}  

e)

1

6.

 cos⁡85°cos⁡55°+sin⁡85°sin⁡55°=...\cos85\degree\cos55\degree+\sin85\degree\sin55\degree=...  

a)

0

b)

1

c)

 12\frac{1}{2}  

d)

 122\frac{1}{2}\sqrt{2}  

e)

 123\frac{1}{2}\sqrt{3}  

7.

Rumus sinus jumlah dua sudut...

a)

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

b)

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

c)

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

d)

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

8.

Rumus cosinus selisih dua sudut...

a)

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

b)

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

c)

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

d)

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

9.

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

a)

 123\frac{1}{2}\sqrt{3}  

b)

1

c)

 12\frac{1}{2}  

d)

 122\frac{1}{2}\sqrt{2}  

10.

 tan⁡335°−tan⁡95°1+tan⁡335°.tan⁡95°\frac{\tan335\degree-\tan95\degree}{1+\tan335\degree.\tan95\degree}  Nilai dari

a)

1

b)

 3\sqrt{3}  

c)

 −133-\frac{1}{3}\sqrt{3}  

d)

 −3-\sqrt{3}