Free Printable Rumus- rumus Trigonometri 1

1.

Bagaimanakah rumus untuk mencari Cos $\left(\alpha+\beta\right)$ ?

a)

$\cos\alpha.\sin\beta+\sin\alpha.\cos\beta$

b)

$\cos\alpha.\sin\beta-\cos\alpha.\sin\beta$

c)

$\cos\alpha.\cos\beta+\sin\alpha.\sin\beta$

d)

$\cos\alpha.\cos\beta-\sin\alpha.\sin\beta$

e)

$\cos\alpha.\sin\beta+\cos\alpha.\sin\beta$

2.

Bagaimana cara menentukan $\cos\left(\alpha-30\degree\right)$ ?

a)

$\frac{1}{2}\sqrt{3}\left(\sin\alpha+\cos\alpha\right)$

b)

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

c)

$\frac{1}{2}\left(\sqrt{3}\cos\alpha+\sin\alpha\right)$

d)

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

e)

$\frac{1}{2}\left(\cos\alpha+\sqrt{3}\sin\alpha\right)$

3.

Bagaimana cara menentukan $\sin\left(\alpha+\beta\right)$ ?

a)

$\sin\alpha.\cos\beta+\cos\alpha.\sin\beta$

b)

$\sin\alpha.\cos\beta-\cos\alpha.\sin\beta$

c)

$\sin\alpha.\sin\beta+\cos\alpha.\cos\beta$

d)

$\sin\alpha.\sin\beta-\cos\alpha.\cos\beta$

e)

$\sin\alpha.\cos\beta+\sin\alpha.\cos\beta$

4.

Jika $\alpha+\beta=30\degree,\ dan\ \sin\alpha.\cos\beta=\frac{1}{3},\ maka\ \cos\alpha.\sin\beta=\ ......$

a)

$\frac{1}{6}$

b)

$\frac{1}{5}$

c)

$\frac{1}{4}$

d)

$\frac{1}{3}$

e)

$\frac{1}{2}$

5.

$\cos75\degree\ adalah\ .....$

a)

$\frac{1}{4}\sqrt{3}\left(\sqrt{2}-1\right)$

b)

$\frac{1}{4}\sqrt{2}\left(\sqrt{3}+1\right)$

c)

$\frac{1}{4}\sqrt{2}\left(1-\sqrt{3}\right)$

d)

$\frac{1}{4}\sqrt{2}\left(\sqrt{3}-1\right)$

e)

$\frac{1}{4}\sqrt{3}\left(1-\sqrt{2}\right)$

6.

$\sin105\degree\ adalah\ .....$

a)

$\frac{1}{4}\sqrt{3}\left(\sqrt{2}-1\right)$

b)

$\frac{1}{4}\sqrt{3}\left(1-\sqrt{2}\right)$

c)

$\frac{1}{4}\sqrt{2}\left(\sqrt{3}-1\right)$

d)

$\frac{1}{4}\sqrt{2}\left(\sqrt{3}+1\right)$

e)

$\frac{1}{4}\sqrt{2}\left(1-\sqrt{3}\right)$

7.

$\frac{1}{2}\sqrt{3}\sin x+\frac{1}{2}\cos x\ sama\ dengan\ .....$

a)

$\cos\left(x-60\degree\right)$

b)

$\cos\left(x+60\degree\right)$

c)

$\sin\left(x+60\degree\right)$

d)

$\sin\left(x-60\degree\right)$

e)

$\cos\left(x-30\degree\right)$

8.

Diketahui : $\sin A=\frac{8}{17},\sin B=\frac{12}{13},\ untuk\ 0<B<\frac{1\pi}{2}<A<\pi.\ Nilai\ dari\ \tan\ \left(A+B\right)adalah\ ....$

a)

$\frac{210}{171}$

b)

$\frac{180}{171}$

c)

$\frac{140}{171}$

d)

$\frac{120}{171}$

e)

$\frac{100}{171}$

9.

Diketahui $jika\ \tan\ A=\frac{1}{k},\ \tan\ B=\frac{1}{k+1}nilai\ dari\ \tan\ \left(A-B\right)$

a)

$\frac{2}{k^2}$

b)

$\frac{k^2}{2}$

c)

$k^2$

d)

$k^2-1$

e)

$\frac{1}{k^2+k+1}$

10.

Nilai dari

2\left(\sin80\degree.\cos70+\cos80\degree.\sin70\degree\right)=......

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$1$

e)

$\frac{3}{2}$

Rumus- rumus Trigonometri 1

Total questions: 10

Worksheet time: 25mins

Similar Resources on Wayground