Free Printable rumus jumlah dan selisih sinus dan cosinus

1.

Nilai dari $\sin210^o\ \sin\ 15^o\ \sin\ 75^o$ = ....

a)

$-\frac{1}{8}$

b)

$-\frac{1}{2}$

c)

$-\frac{1}{4}$

d)

$1$

e)

$2$

2.

Nilai dari $\sin\ 45^o\ \cos15^o=......$

a)

$\frac{1}{4}\left(\sqrt{3}-1\right)$

b)

$\frac{1}{4}\left(\sqrt{3}+1\right)$

c)

$\frac{1}{4}\left(1-\sqrt{3}\right)$

d)

$\frac{1}{2}\left(\sqrt{3}-1\right)$

e)

$\frac{1}{2}$

3.

Nilai dari $4\sin35^o\cos25^o+4\cos20^o\sin10^o=....$

a)

$-\sqrt{3}-1$

b)

$-2$

c)

$-1$

d)

$0$

e)

$\sqrt{3}+1$

4.

$2\sin x\cos3x=.....$

a)

$\cos4x-\cos2x$

b)

$\cos4x+\cos2x$

c)

$\sin4x+\sin2x$

d)

$\sin4x-\sin2x$

e)

$\sin2x-\sin4x$

5.

$\sin65^o\sin5^o$ dapat disederhanakan menjadi ....

a)

$\frac{1}{2}\left(\cos70^o-\frac{1}{2}\right)$

b)

$\frac{1}{2}\left(\frac{1}{2}-\cos70^o\right)$

c)

$\frac{1}{2}\left(\sin70^o-\frac{1}{2}\sqrt{3}\right)$

d)

$\frac{1}{2}\left(\frac{1}{2}\sqrt{3}-\sin70^o\right)$

e)

$\cos70^o-\frac{1}{2}$

6.

$nilai\ dari\ \ 2\ \sin\ 50^o\ \cos\ 40^o\ +\ 2\ \cos\ 95^o\ \sin\ 85^o\ =\ .....$

a)

$-1$

b)

$-\frac{1}{2}$

c)

$\frac{1}{2}$

d)

$1$

e)

$2$

7.

$\sin\ \alpha\ \sin\ \beta=$

a)

$\frac{1}{2}\left[\cos\ \left(\alpha-\beta\right)-\cos\left(\alpha+\beta\right)\right]$

b)

$\frac{1}{2}\left[\cos\ \left(\alpha-\beta\right)+\cos\left(\alpha+\beta\right)\right]$

c)

$\frac{1}{2}\left[\sin\ \left(\alpha-\beta\right)-\cos\left(\alpha+\beta\right)\right]$

d)

$\frac{1}{2}\left[\cos\ \left(\alpha-\beta\right)+\sin\left(\alpha+\beta\right)\right]$

8.

$2\ \cos\ 45\ \cos\ 20=$

a)

$\cos\ 25\ -\ \cos\ 65$

b)

$\cos\ 25\ +\ \cos\ 65$

c)

$\sin\ 25\ +\ \sin\ 65$

d)

$\sin\ 25\ -\ \sin\ 65$

9.

$10\ \sin\ 75\ \cos\ 45\ =$

a)

$\frac{5-5\sqrt{3}}{2}$

b)

$\sqrt{3}$

c)

$\frac{5+5\sqrt{3}}{2}$

d)

$\frac{1+\sqrt{3}}{2}$

10.

$\cos\ \alpha\ \cos\ \beta\ =$

a)

$\frac{1}{2}\left[\sin\left(\alpha-\beta\right)+\sin\ \left(\alpha+\beta\right)\right]$

b)

$-\frac{1}{2}\left[\cos\left(\alpha-\beta\right)+\cos\ \left(\alpha+\beta\right)\right]$

c)

$\frac{1}{2}\left[\cos\left(\alpha-\beta\right)+\cos\ \left(\alpha+\beta\right)\right]$

d)

$\frac{1}{2}\left[\cos\left(\alpha-\beta\right)-\cos\ \left(\alpha+\beta\right)\right]$

11.

a)

b)

c)

d)

e)

12.

Nilai $\sin\ 2x\ \cos\ 3x\ +\cos\ 2x\ \sin\ 3x$ sama dengan nilai ...

a)

$\sin\ x$

b)

$\sin\ 5x$

c)

$\sin\ 7x$

d)

$\sin\ 3x$

e)

$\sin\ 6x$

13.

Diketahui tan $\alpha$ = $\frac{12}{5}$ dan sin $\beta$ = $\frac{4}{5}$ . Jika $\alpha$ dan $\beta$ terletak di kuadran I , nilai cos( $\alpha-\beta$ )= ...

a)

$\frac{35}{396}$

b)

$\frac{35}{99}$

c)

$\frac{37}{99}$

d)

$\frac{56}{65}$

e)

$\frac{63}{65}$

14.

Rumus tangen jumlah dua sudut...

a)

$\tan\ \left(\alpha+\beta\right)=\frac{\tan\ \alpha-\tan\ \beta}{1+\tan\ \alpha\ \tan\ \beta}$

b)

$\tan\ \left(\alpha+\beta\right)=\frac{\tan\beta+\tan\ \alpha\ }{1+\tan\ \alpha\ \tan\ \beta}$

c)

$\tan\ \left(\alpha+\beta\right)=\frac{\tan\ \alpha+\tan\ \beta}{1-\tan\ \alpha\ \tan\ \beta}$

d)

$\tan\ \left(\alpha-\beta\right)=\frac{\tan\ \alpha-\tan\ \beta}{1+\tan\ \alpha\ \tan\ \beta}$

15.

Nilai dari $\sin\ 45^o\ \cos15^o=......$

a)

$\frac{1}{4}\left(\sqrt{3}-1\right)$

b)

$\frac{1}{4}\left(\sqrt{3}+1\right)$

c)

$\frac{1}{4}\left(1-\sqrt{3}\right)$

d)

$\frac{1}{2}\left(\sqrt{3}-1\right)$

e)

$\frac{1}{2}$

16.

$\sin\ 7a\degree\ -\ \sin\ 3a\degree=....$

a)

$2\ \cos\ 5a\degree\ \sin\ 2a\degree$

b)

$\sin\ 2a\degree$

c)

$2\ \sin\ a\degree\ \cos\ a\degree$

d)

$\cos\ 5a\degree\ \sin\ 2a\degree$

e)

1

17.

$\cos105\degree+\cos15\degree=...$

a)

$\frac{1}{2}$

b)

$\sqrt{2}$

c)

1

d)

$\frac{1}{2}\sqrt{2}$

e)

$-\frac{1}{2}\sqrt{2}$

18.

Rumus jumlah cos adalah..

a)

cos (a+b) = cos a + cos b

b)

cos (a+b) = cos a cos b - sin a sin b

c)

cos (a+b) = cos a cos b + cos a cos b

d)

cos (a+b) = sin a cos b + cos a sin b

e)

cos (a+b) = sin a cos b - cos a sin b

19.

Diketahui tan $\alpha$ = $\frac{12}{5}$ dan sin $\beta$ = $\frac{4}{5}$ . Jika $\alpha$ dan $\beta$ terletak di kuadran I , nilai cos( $\alpha-\beta$ )= ...

a)

$\frac{35}{396}$

b)

$\frac{35}{99}$

c)

$\frac{37}{99}$

d)

$\frac{56}{65}$

e)

$\frac{63}{65}$

20.

$\sin\ 15\degree=...$

a)

$\frac{\sqrt{6}-\sqrt{2}}{4}$

b)

$\frac{\sqrt{2}-\sqrt{6}}{4}$

c)

$\frac{\sqrt{6}-\sqrt{2}}{2}$

d)

$\frac{\sqrt{2}-\sqrt{6}}{2}$

e)

$\sqrt{6}-\sqrt{2}$

rumus jumlah dan selisih sinus dan cosinus

Total questions: 20

Worksheet time: 5hrs 0mins

Similar Resources on Wayground