Free Printable matematika trigonometri kelas XI IPA

1.

a)

$\sin^2\ x$

b)

$\cos^2\ x$

c)

$\tan^2\ x$

d)

$\sec an^2\ x$

e)

$\operatorname{cosec}^2\ x$

2.

a)

b)

c)

d)

e)

3.

a)

$\frac{1}{4}\sqrt{6}-\sqrt{2}$

b)

$\frac{1}{4}\sqrt{6}-\frac{1}{2}\sqrt{2}$

c)

$\frac{1}{4}\sqrt{6}+\frac{1}{4}\sqrt{2}$

d)

$\frac{1}{4}\sqrt{6}-\frac{1}{4}\sqrt{2}$

e)

$-\frac{1}{4}\sqrt{6}+\frac{1}{2}\sqrt{2}$

4.

a)

$\frac{4}{8}$

b)

$\frac{1}{2}$

c)

$\frac{8}{9}$

d)

1

e)

2

5.

a)

$\cos\alpha$

b)

$\sin\alpha$

c)

$-\sin\alpha$

d)

$\sqrt{3}\cos\alpha$

e)

$-\sqrt{3}\cos\alpha$

6.

a)

$-\frac{5}{6}\sqrt{30}$

b)

$-\frac{1}{3}\sqrt{30}$

c)

$-\frac{1}{6}\sqrt{30}$

d)

$\frac{1}{6}\sqrt{30}$

e)

$\frac{5}{6}\sqrt{30}$

7.

a)

$-\sqrt{2}$

b)

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

c)

$1$

d)

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

e)

$\sqrt{2}$

8.

a)

$\frac{1}{16}\left(\sqrt{3}-2\right)$

b)

$\frac{1}{8}\left(\sqrt{3}-2\right)$

c)

$\frac{1}{8}\left(\sqrt{3}+2\right)$

d)

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

e)

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

9.

dari segitiga ABC, diketahui $\cos\ \frac{1}{2}\left(A+B\right)=\frac{3}{5}$ dan $\cos\ \frac{1}{2}\left(A-B\right)=\frac{1}{2}\sqrt{3}$ . nilai cos A - cos B = .....

a)

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

b)

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

c)

$-\frac{3}{5}$

d)

$-\frac{4}{5}$

e)

$\frac{4}{5}$

10.

a)

$\left(0,\ \frac{\pi}{2},\ \frac{3\pi}{2},2\pi\right)$

b)

$\left(0,\ \frac{\pi}{2},\ \frac{2\pi}{3},\ 2\pi\right)$

c)

$\left(0,\ \frac{\pi}{2},\ \pi,\ \frac{3\pi}{2}\right)$

d)

$\left(0,\ \frac{\pi}{2},\ \frac{2\pi}{3}\right)$

e)

$\left(0,\ \frac{\pi}{2}\right)$

11.

diketahui $\alpha-\beta\ =\frac{\pi}{3}$ dan $\sin\alpha\ .\ \sin\beta\ =\ \frac{1}{4}$ dengan $\alpha\ dan\ \beta$ merupakan sudut lancip. nilai $\left(\sin\alpha+\beta\ \right)$ = .....

a)

1

b)

$\frac{3}{4}$

c)

$\frac{1}{2}$

d)

$\frac{1}{4}$

e)

0

12.

pada segitiga ABC diketahui $\sin A=\frac{15}{17}$ dan $\cos B=\frac{3}{5}$ . nilai tan c =....

a)

$\frac{77}{36}$

b)

$\frac{46}{36}$

c)

$\frac{13}{36}$

d)

$-\frac{46}{36}$

e)

$-\frac{77}{36}$

13.

diketahui
$\sin\theta+\cos\theta=\frac{3}{4}$ . nilai $\sin2\theta$ =....

a)

$-\frac{9}{16}$

b)

$-\frac{7}{16}$

c)

$-\frac{1}{16}$

d)

$-\frac{7}{16}$

e)

$\frac{9}{16}$

14.

diketahui $\beta$ adalah sudut lancip dengan $\sin\beta=\frac{1}{3}\sqrt{5}.$ nilai dari $\sin\ \frac{1}{2}\beta$ =....

a)

$\frac{1}{5}\sqrt{30}$

b)

$\frac{1}{6}\sqrt{15}$

c)

$\frac{1}{5}\sqrt{15}$

d)

$\frac{1}{6}\sqrt{6}$

e)

$\frac{1}{5}\sqrt{6}$

15.

jika $\sin\ 7\degree\ =p$ , maka nilai $\sin\ 284^{\degree}$ = ....

a)

$2p^2+2$

b)

$2p^2-2$

c)

$2p^2-1$

d)

$2p^2+1$

e)

$1-2p^2$

matematika trigonometri kelas XI IPA

Total questions: 15

Worksheet time: 1hrs 15mins

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