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Latihan UTS Trigonometri

Authored by hendy cahya

Mathematics

10th Grade

Used 12+ times

Latihan UTS Trigonometri
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10 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Jika  tan⁡ A = 32\tan\ A\ =\ \frac{\sqrt{3}}{\sqrt{2}}  , maka nilai  sin⁡A×cos⁡A=⋅⋅⋅\sin A\times\cos A=\cdot\cdot\cdot  

 65\frac{\sqrt{6}}{\sqrt{5}}  

 65\frac{\sqrt{6}}{5}  

 56\frac{5}{\sqrt{6}}  

 3+25\frac{\sqrt{3}+\sqrt{2}}{\sqrt{5}}  

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Nilai dari tan 2205 =...

1

3\sqrt{3}

133\frac{1}{3}\sqrt{3}

∞\infty

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 cos⁡ −1200=⋅⋅⋅\cos\ -1200=\cdot\cdot\cdot  

 −123-\frac{1}{2}\sqrt{3}  

 123\frac{1}{2}\sqrt{3}  

 12\frac{1}{2}  

 −12-\frac{1}{2}  

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Jika sin⁡A=1213\sin A=\frac{12}{13}  dan  cos⁡B=35\cos B=\frac{3}{5}  , maka nilai dari  sin⁡A⋅cos⁡B +cos⁡A⋅sin⁡B =⋅⋅⋅\sin A\cdot\cos B\ +\cos A\cdot\sin B\ =\cdot\cdot\cdot  

 6556\frac{65}{56}  

 −6556-\frac{65}{56}  

 5665\frac{56}{65}  

 −5665-\frac{56}{65}  

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Jika π<A<32π\pi<A<\frac{3}{2}\pi  dan  sin⁡A=−aa+1\sin A=\frac{-\sqrt{a}}{\sqrt{a+1}}  maka nilai dari  tan⁡2A + cos⁡2A =⋅⋅⋅\tan^2A\ +\ \cos^2A\ =\cdot\cdot\cdot  

 a2+a+1a+1\frac{a^2+a+1}{a+1}  

 a2+a−1a+1\frac{a^2+a-1}{a+1}  

 a2−a+1a−1\frac{a^2-a+1}{a-1}  

 a2−a−1a+1\frac{a^2-a-1}{a+1}  

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Aldo sedang bermain layang-layang di tanah lapang. Panjang benang layang-layang yang sudah diulur oleh Aldo adalah 100 m. Aldo memandang layang-layangnya dengan sudut elevasi 45°45\degree . Jika tinggi Aldo adalah  50250\sqrt{2}   cm, tentukan jarak layang-layang Aldo ke tanah!

 1002m100\sqrt{2}m  

 552m55\sqrt{2}m  

 50,52 m50,5\sqrt{2\ }m  

 50+502m50+50\sqrt{2}m  

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Bentuk sederhana dari 1−cos⁡2X1+sin⁡X1-\frac{\cos^2X}{1+\sin X}  adalah...

 sin⁡X\sin X  

 cos⁡X\cos X  

 tan⁡X\tan X  

 cosec⁡X\operatorname{cosec}X  

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