Free Printable Quiz 1 MANTAN kelas 11 IPA 1

1.

Kebalikan dari $\frac{1}{\csc\ \alpha}$ adalah...

a)

$\sin\alpha$

b)

$\cos\alpha$

c)

$\tan\alpha$

d)

$\csc\alpha$

e)

$\sec\alpha$

2.

Kebalikan dari $\sec\ \alpha$ adalah...

a)

$\sin\alpha$

b)

$\cos\alpha$

c)

$\tan\alpha$

d)

$\csc\alpha$

e)

$\sec\alpha$

3.

Diantara kalimat matematika berikut, manakah yang termasuk identitas trigonometri (bernilai benar)?

a)

$\tan^2\theta+1=\sec^2\theta$

b)

$\tan\beta=\frac{\cos\beta}{\sin\ \beta}$

c)

$\sin^2\alpha-\cos^2\alpha=1$

d)

$\cot^2\alpha+\csc^2\alpha=1$

e)

$\tan^2\beta=\sec^2\beta+1$

4.

Persamaan $\cos^2\alpha-\sin\alpha=0$ agar bisa diselesaikan maka perlu diubah menjadi...

a)

$\sin^2\alpha-\sin\alpha+1=0$

b)

$-\sin^2\alpha-\sin\alpha+1=0$

c)

$-\sin^2\alpha-\sin\alpha=0$

d)

$-\sin^2\alpha+\sin\alpha+1=0$

e)

$\cos^2\alpha-\cos\alpha-1=0$

5.

Persamaan $-2\cot^2\alpha+\csc\alpha-2=0$ agar bisa diselesaikan maka perlu diubah menjadi...

a)

$2\csc^2\alpha+\csc\alpha-2=0$

b)

$-2\csc^2\alpha+\csc\alpha=2$

c)

$-2\csc^2\alpha+\csc\alpha-2=0$

d)

$2\csc^2\alpha+\csc\alpha=0$

e)

$-2\csc^2\alpha+\csc\alpha=0$

6.

Jika $\sin\beta+\cos\beta=\frac{3}{2}$ maka berapakah nilai $\sin\beta\ .\cos\beta$ ?

a)

$\frac{1}{2}$

b)

$\frac{3}{4}$

c)

$\frac{5}{8}$

d)

$1$

e)

$\frac{5}{16}$

7.

$3\sin^2\alpha+\frac{3}{\sec^2\alpha}=...$

a)

1

b)

6

c)

9

d)

3

e)

-3

8.

$\frac{2-\cos^2\theta}{\sin\theta}=...$

a)

$\sin\theta+\cos\ \theta$

b)

$\sin\theta+\csc\theta$

c)

$\sec\theta+\sin\theta$

d)

$\cos\theta+\csc\theta$

e)

$\cot\ \theta$

9.

Jika $\tan\ \alpha=\frac{x}{y}$ maka $\frac{\sqrt{x^2+y^2}}{x}=...$

a)

$\csc\alpha$

b)

$\sin\alpha$

c)

$\cos\alpha$

d)

$\tan\alpha$

e)

$\sec\alpha$

10.

Jika $\alpha$ berada pada kuadran 3, dan $\tan\alpha=\frac{3}{4}$ , maka

$2\sin\alpha-\cos\alpha=...$

a)

$\frac{2}{5}$

b)

$-\frac{1}{5}$

c)

$\frac{1}{5}$

d)

0

e)

$-\frac{2}{5}$

11.

$\sin^{-1}\ \frac{1}{2}\sqrt{3}-\cos^{-1}1+\tan^{-1}-\sqrt{3}=...$

a)

$90\degree$

b)

$120\degree$

c)

$0\degree$

d)

$30\degree$

e)

$60\degree$

12.

$\sin^{-1}\left(\sin\frac{\pi}{3}\right)-\cos^{-1}\left(\cos\frac{\pi}{4}\right)+\tan^{-1}\left(\tan\frac{\pi}{2}\right)=...$

a)

$\frac{1}{3}\pi$

b)

$\pi$

c)

$\frac{13}{12}\pi$

d)

$\frac{7}{12}\pi$

e)

$\frac{5}{6}\pi$

13.

$\tan\left(\cos^{-1}\ -\frac{1}{2}\right)=...$

a)

$\sqrt{3}$

b)

$-\sqrt{3}$

c)

0

d)

-1

e)

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

14.

$\cos^{-1}\ \frac{2}{3}+\sin^{-1}\ \frac{2}{3}\ =\ ...$

a)

$\frac{\pi}{2}$

b)

tak terdefinisi

c)

$\frac{\pi}{3}$

d)

$\frac{\pi}{4}$

e)

$\pi$

15.

Diketahui $\cos2\theta=2\cos^2\theta-1$

berapakah nilai $\cos\left(2\ \tan^{-1}\ \frac{1}{3}\sqrt{3}\right)?$

a)

$\frac{3}{12}$

b)

$\frac{1}{2}$

c)

$\frac{3}{\sqrt{12}}$

d)

$\sqrt{\frac{3}{12}}$

e)

1

Quiz 1 MANTAN kelas 11 IPA 1

Total questions: 15

Worksheet time: 18mins

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