Quiz about Nilai dan Identitas Trigonometri, Aturan Sinus dan Kosinus

Question 1

Nilai $$\sin135\degree=$$ . . . .

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

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

Question 2

Nilai $$\cos210\degree=$$ . . . .

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

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

Question 3

Nilai dari $$ an300\degree=$$ . . . .

Accepted Answer

$$-\sqrt[]{3}$$

Answer

$$-1$$

Answer

$$\sqrt[]{3}$$

Answer

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

Answer

$$-\frac{1}{3}\sqrt[]{3}$$

Question 4

Nilai dari $$\cos\ \frac{2}{3}\pi=$$ . . . .

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

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

Question 5

Nilai dari $$ an\ \frac{5}{4}\pi=$$ . . . .

Accepted Answer

$$1$$

Answer

$$\sqrt[]{3}$$

Answer

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

Answer

$$-\frac{1}{3}\sqrt[]{3}$$

Answer

$$-1$$

Question 6

Nilai dari $$\sin\ \frac{11}{6}\pi=$$ . . . .

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

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

Question 7

Nilai dari $$ an870\degree=$$ . . . .

Accepted Answer

$$-\frac{1}{3}\sqrt[]{3}$$

Answer

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

Answer

$$\sqrt[]{3}$$

Answer

$$-\sqrt[]{3}$$

Answer

$$-1$$

Question 8

Nilai dari $$\sin1680\degree=$$ . . . .

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

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

Question 9

Nilai dari $$\cos\left(-315\degree\right)=$$ . . . .

Accepted Answer

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

Answer

$$1$$

Answer

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

Answer

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

Answer

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

Question 10

Hasil dari $$\sin\frac{5}{6}\pi+\cos\pi-\cos\frac{4}{3}\pi=$$ . . . .

Accepted Answer

$$0$$

Answer

$$-2$$

Answer

$$2$$

Answer

$$-1$$

Answer

$$1$$

Question 11

Hasil dari $$2\sin315\degree imes an120\degree+\cos270\degree=$$ . . . .

Accepted Answer

$$\sqrt[]{6}$$

Answer

$$\frac{1}{2}\sqrt[]{6}$$

Answer

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

Answer

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

Answer

$$-\frac{1}{3}\sqrt[]{6}$$

Question 12

Jika nilai $$\cos\propto=\frac{12}{13}$$ dan $$\propto$$ berada di kuadran IV, maka nilai $$\sin\propto=$$ . . . .

Accepted Answer

$$-\frac{5}{13}$$

Answer

$$\frac{5}{13}$$

Answer

$$\frac{5}{12}$$

Answer

$$-\frac{5}{12}$$

Answer

$$\frac{25}{13}$$

Question 13

Bentuk sederhana dari $$\frac{1-\cos^2x}{2\sin^2x}$$ adalah . . . .

Accepted Answer

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

Answer

$$	an^2x$$

Answer

$$\operatorname{cotan}^2x$$

Answer

$$\frac{1}{2} an^2x$$

Answer

$$\frac{1}{2}\operatorname{cotan}^2x$$

Question 14

Bentuk sederhana dari $$\frac{ an x}{\sin x\cdot\sec x}$$ adalah . . . .

Accepted Answer

1

Answer

$$\sin x\cdot\cos x$$

Answer

$$	an x$$

Answer

$$\operatorname{cotan}x$$

Answer

2

Question 15

Perhatikan gambar di samping.

Panjang sisi BC adalah . . . . .

Accepted Answer

$$10\sqrt[]{2}\ cm$$

Answer

$$15\sqrt[]{2}\ cm$$

Answer

$$20\sqrt[]{3}\ cm$$

Answer

$$20\sqrt[]{2}\ cm$$

Answer

$$10\sqrt[]{3}\ cm$$

Question 16

Perhatikan gambar di samping.

Panjang sisi PR adalah . . . . .

Accepted Answer

$$7\ cm$$

Answer

$$8\ cm$$

Answer

$$9\ cm$$

Answer

$$\sqrt[]{7}\ cm$$

Answer

$$\sqrt[]{63}\ cm$$

Question 17

Dua orang berdiri di dua titik A dan B yang berjarak 140 meter satu sama lain di sebuah taman. Mereka melihat sebuah balon udara. Dari titik A, sudut elevasi ke balon adalah 60⁰, dan dari titik B, sudut elevasi adalah 75⁰. Jarak antara balon udara dan titik B adalah . . . . .

Accepted Answer

$$70\sqrt[]{6}\ m$$

Answer

$$140\sqrt[]{6}\ m$$

Answer

$$70\sqrt[]{3}\ m$$

Answer

$$40\sqrt[]{6}\ m$$

Answer

$$90\sqrt[]{6}\ m$$

Question 18

Sebuah kapal berlayar dari pelabuhan A kepelabuhan B sejauh 60 km dengan arah 40⁰ dari A, kemudian berputar haluan dilanjutkan ke pelabuhan C sejauh 90 km, dengan arah 160⁰ dari B. Jarak terdekat dari pelabuhan A ke C adalah . . . .

Accepted Answer

$$30\sqrt[]{7}\ km$$

Answer

$$30\sqrt[]{2}\ km$$

Answer

$$30\sqrt[]{5}\ km$$

Answer

$$30\sqrt[]{10}\ km$$

Answer

$$30\sqrt[]{30}\ km$$

Nilai dan Identitas Trigonometri, Aturan Sinus dan Kosinus

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