Quiz about Soal UH Fungsi Trigonometri Paket 1

Question 1

Bentuk sederhana dari $$\left(\sin A+\cos A\right)^{2\ }-\left(\sin A-\cos A\right)^{2\ }=...$$

Accepted Answer

4 sin A cos A

Answer

sin A - cos A

Answer

sin A + cos A

Answer

2 sin A - 3 cos A

Answer

$$\sin^2A-\cos A$$

Question 2

Bentuk sederhana dari $$\frac{\left(\sec^2A-1\right)}{\sec^2A}=...$$

Accepted Answer

$$\sin^2A$$

Answer

$$\cos^{2\ }A$$

Answer

$$\sec^2A$$

Answer

$$\operatorname{cosec}^2A- an^2A$$

Answer

$$\cos^2A-\sin^2A$$

Question 3

Benar atau salah persaman berikut berikut!
$$\frac{\sin4A}{1+\cos4A}=\operatorname{cosec}2A$$

Accepted Answer

Salah

Answer

Benar

Question 4

Grafik berikut adalah grafik fungsi..

Accepted Answer

$$f\left(x\right)=\frac{1}{2}\cos\left(2x\right)$$

Answer

$$f\left(x\right)=\frac{1}{2}\sin\left(\frac{1}{2}x\right)$$

Answer

$$f\left(x\right)=\frac{1}{2}\sin\left(2x\right)$$

Answer

$$f\left(x\right)=2\cos\left(\frac{1}{2}x\right)$$

Answer

$$f\left(x\right)=2\cos\left(2x\right)$$

Question 5

Grafik berikut adalah grafik fungsi....

Accepted Answer

$$y=4\sin2x$$

Answer

$$y=2\sin x$$

Answer

$$y=2\cos4x$$

Answer

$$y=4\cos2x$$

Answer

$$y=4\sin4x$$

Question 6

Diketahui $$f\left(x\right)=\sqrt[]{2}\cos3x+1$$ . Jika nilai maksimum dan minimum f(x) berturut-turut adalah p dan q, maka nilai $$p^2+q^2$$ adalah...

Accepted Answer

6

Answer

1

Answer

2

Answer

3

Answer

4

Question 7

Nilai dari $$2\sin225+4\cos135=$$ ..

Accepted Answer

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

Answer

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

Answer

$$-5\sqrt[]{2}$$

Answer

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

Answer

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

Question 8

Diketahui segitiga ABC dengan panjang BC=18 cm. Jika besar sudut CAB =45 dan sudut ABC=105, panjang AB adalah ...

Accepted Answer

$$9\sqrt[]{2}$$

Answer

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

Answer

$$12\sqrt[]{2}$$

Answer

$$18\sqrt[]{2}$$

Answer

$$36\sqrt[]{2}$$

Question 9

Nilai dari sin 225 adalah...

Accepted Answer

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

Answer

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

Answer

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

Answer

0

Answer

1

Question 10

Nilai dari cos 765 adalah ...

Accepted Answer

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

Answer

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

Answer

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

Answer

0

Answer

1

Question 11

Diketahui $$f\left(x\right)=-3\cos2x$$ . Periodenya adalah ...

Accepted Answer

$$\pi$$

Answer

$$\frac{2}{3}\pi$$

Answer

$$\frac{3}{4}\pi$$

Answer

$$2\pi$$

Answer

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

Question 12

Diketahui $$f\left(x\right)=-3\cos2x$$ . Nilai maksimumnya adalah ...

Accepted Answer

3

Answer

2

Answer

0

Answer

4

Answer

-3

Question 13

Diketahui $$f\left(x\right)=-3\cos2x$$ . Nilai minimumnya adalah ...

Accepted Answer

-3

Answer

-2

Answer

3

Answer

0

Answer

4

Question 14

Periode grafik fungsi $$f\left(x\right)=2\cos\left(\frac{3}{4}x+\pi\right)$$ adalah ...

Accepted Answer

$$\frac{8}{3}\pi$$

Answer

$$\frac{3}{2}\pi$$

Answer

$$\frac{4}{3}\pi$$

Answer

$$\frac{3}{4}\pi$$ $$\frac{1}{2}\pi$$

Question 15

Sebidang tanah berbentuk segitiga dengan setiap titik sudutnya diberi tonggak pembatas A, B, dan C. Jika jarak antara tonggak A dan B adalah 300 m, sudut ABC=45 dan sudut BCA = 60. Jarak antara tonggak A dan C adalah ...

Accepted Answer

$$100\sqrt[]{6}$$

Answer

$$50\sqrt[]{6}$$

Answer

$$100\sqrt[]{3}$$

Answer

$$150\sqrt[]{2}$$

Answer

$$300\sqrt[]{6}$$

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