Quiz about 593 Part 2 Matematika

Question 1

Nilai $$x$$ yang memenuhi $$2\cos^2x+\cos x-1=0$$ dimana $$0\le x\le\pi$$ adalah ....

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

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

Question 2

Jika $$\frac{\cos heta}{1-\sin heta}=p$$ untuk $$ heta e\frac{\pi}{2}$$ , maka nilai $$ an\ \frac{ heta}{2}=....$$

Accepted Answer

$$\frac{p-1}{p+1}$$

Answer

$$\frac{p}{p+1}$$

Answer

$$\frac{1}{p+1}$$

Answer

$$\frac{p+1}{p-1}$$

Answer

$$\frac{p}{p-1}$$

Question 3

Nilai dari $$\frac{\sin135\degree-\sin15\degree}{\cos135\degree+\cos15\degree}=....$$

Accepted Answer

$$\sqrt[]{3}$$

Answer

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

Answer

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

Answer

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

Answer

$$2$$

Question 4

Suatu jajaran genjang ABCD dengan Panjang AB = 7, AD = 6, dan BD = 8. Nilai cosinus sudut ADC adalah ....

Accepted Answer

$$-\frac{1}{4}$$

Answer

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

Answer

$$\frac{1}{4}$$

Answer

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

Answer

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

Question 5

Pada $$\Delta\ ABC$$ sudut A dan B adalah sudut lancip $$\sin A=\frac{4}{5}$$ dan $$\cos B=\frac{1}{5}\sqrt[]{5}$$ , nilai $$\cos C=....$$

Accepted Answer

$$\frac{1}{5}\sqrt[]{5}$$

Answer

$$\frac{4}{5}\sqrt[]{5}$$

Answer

$$\frac{3}{5}\sqrt[]{5}$$

Answer

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

Answer

$$\sqrt[]{5}$$

Question 6

Suatu segitiga memuat sisi $$45\degree$$ dan $$75\degree$$ . Jika panjang sisi dihadapan sudut $$45\degree$$ adalah $$2\sqrt[]{2}$$ cm, maka luas segitiga tersebut adalah ... cm².

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

$$3\sqrt[]{6}$$

Question 7

Jika $$\sin\left(40\degree+x\right)=a$$ dengan $$0\degree , maka nilai $$\cos\left(70\degree+x\right)$$ adalah ....

Accepted Answer

$$\frac{\sqrt[]{3\left(1-a^2\right)}-a}{2}$$

Answer

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

Answer

$$\frac{\sqrt[]{3\left(1-a^2\right)}+a}{2}$$

Answer

$$\frac{\sqrt[]{2\left(1-a^2\right)}-a}{2}$$

Answer

$$\frac{\sqrt[]{2\left(1-a^2\right)}+a}{2}$$

Question 8

Question 8.

Accepted Answer

$$\frac{7}{25}$$

Answer

$$\frac{7}{24}$$

Answer

$$-\frac{7}{25}$$

Answer

$$-\frac{7}{24}$$

Answer

$$-\frac{17}{25}$$

Question 9

Nilai dari $$\frac{1+\csc x}{\cot x+\cos x}$$ untuk $$x=60\degree$$ adalah ....

Accepted Answer

$$2$$

Answer

$$\frac{1}{4}$$

Answer

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

Answer

$$3$$

Answer

$$4$$

Question 10

Diketahui $$\sin A=\frac{3}{5}$$ dan sudut $$A$$ di kuadran II. Nilai $$\sin2A$$ adalah ....

Accepted Answer

$$-\frac{24}{25}$$

Answer

$$\frac{24}{25}$$

Answer

$$\frac{18}{20}$$

Answer

$$\frac{12}{15}$$

Answer

$$-\frac{18}{20}$$

Question 11

Diketahui segitiga ABC seperti pada gambar!

Panjang AC = BC = 6 cm, AB = 4 cm. Jika BD garis tinggi segitiga tersebut, maka panjang BD adalah ....

Accepted Answer

$$\frac{8}{3}\sqrt[]{2}$$

Answer

$$\frac{4}{3}\sqrt[]{5}$$

Answer

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

Answer

$$\frac{4}{3}\sqrt[]{10}$$

Answer

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

Question 12

Diketahui $$f\left(x\right)=2x-1$$ dan $$g\left(x\right)=x^2+2x$$ maka fungsi dari $$\left(g\ \circ\ f\right)\left(x\right)=....$$

Accepted Answer

$$4x^2-1$$

Answer

$$4x^2+2x-2$$

Answer

$$4x^2-2x-1$$

Answer

$$4x^2-2x$$

Answer

$$4x^2-4$$

Question 13

Diketahui fungsi $$f\left(x ight)=\frac{3x-5}{\frac{1}{2}x+2};\ x e-4$$ . Jika $$f^{-1}\left(x ight)$$ adalah invers dari $$f\left(x ight)$$ , maka nilai dari $$f^{-1}\left(2 ight)$$ adalah ....

Accepted Answer

$$\frac{9}{2}$$

Answer

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

Answer

$$-\frac{1}{4}$$

Answer

$$\frac{9}{4}$$

Answer

$$9$$

Question 14

Diketahui $$\left(f\ \circ\ g ight)\left(x ight)=\frac{x+6}{2x-4};\ x e2$$ dan $$g\left(x ight)=2-x$$ maka $$f^{-1}\left(2 ight)$$ sama dengan ....

Accepted Answer

$$-\frac{8}{3}$$

Answer

$$-\frac{5}{3}$$

Answer

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

Answer

$$\frac{5}{3}$$

Answer

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

Question 15

Diketahui $$f\left(x+1\right)=2x$$ dan $$\left(f\ \circ\ g\right)\left(x+1\right)=2x^2+4x-2$$ . Nilai $$g\left(-2\right)=$$ ....

Accepted Answer

$$3$$

Answer

$$-5$$

Answer

$$0$$

Answer

$$2$$

Answer

$$8$$

Question 16

Diketahui fungsi $$f\left(x\right)=6x-3,\ g\left(x\right)=5x+4$$ dan $$\left(f\ \circ\ g\right)\left(a\right)=81.$$ Nilai $$a=$$ ....

Accepted Answer

$$2$$

Answer

$$-2$$

Answer

$$-1$$

Answer

$$1$$

Answer

$$3$$

Question 17

Jika $$f\left(x\right)=2x,\ g\left(x\right)=x+1$$ dan $$h\left(x\right)=x^3$$ maka $$\left(h\ \circ\ g\ \circ\ f\right)\left(x\right)$$ adalah ....

Accepted Answer

$$8x^3+12x^2+6x+1$$

Answer

$$8x^3+12x^2+1$$

Answer

$$4x^3+4x^2+1$$

Answer

$$8x^3+6x^2+6x+1$$

Answer

$$8x^3+18x^2+1$$

Question 18

Jika $$f\left(x\right)=x+2a-b$$ dan $$g\left(x\right)=2bx+2,\ $$ serta $$4f\left(0\right)=3g\left(1\right)$$ maka $$4a-5b=....$$

Accepted Answer

$$3$$

Answer

$$1$$

Answer

$$0$$

Answer

$$-1$$

Answer

$$-3$$

Question 19

Misalkan fungsi $$f\ :\ R\ \rightarrow\ R$$ dan $$g\ :\ R\ \rightarrow\ R$$ didefinisikan dengan $$f\left(x\right)=1+\frac{1}{x}$$ dan $$g\left(x\right)=1-\frac{1}{x}$$ . Batas nilai x dimana berlaku $$\left(f\ \circ\ g\right)\left(x\right)<\left(g\ \circ\ f\right)\left(x\right)$$ adalah ....

Accepted Answer

$$-1<x<0\ atau\ 0<x<1$$

Answer

$$-1<x<1$$

Answer

$$-1<x<0$$

Answer

$$0<x<1$$

Answer

$$x<-1\ atau\ x>1$$

Question 20

Diketahui $$g\left(f\left(x\right)\right)=f\left(g\left(x\right)\right)$$ . Jika $$f\left(x\right)=2x+p$$ dan $$g\left(x\right)=3x+120$$ , maka nilai $$p$$ adalah ....

Accepted Answer

$$60$$

Answer

$$30$$

Answer

$$90$$

Answer

$$120$$

Answer

$$150$$

593 Part 2 Matematika

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