Free Printable ข้อสอบท้ายบท ประยุกต์อัตราส่วนตรีโกณมิติ ม.3 โดย พี่นัท

1.

$Calculate$ $\tan^245°\sin⁡60°\tan⁡30°\tan⁡60°.$

a)

$\frac{\sqrt{3}}{2}$

b)

$2\sqrt{3}$

c)

$3\sqrt{3}$

d)

5

e)

None of these

2.

$Calculate$ $\frac{1}{2}\operatorname{cosec}^260°-2\cot^260°+\sin^245°+\sec^245°.$

a)

2

b)

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

c)

3

d)

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

e)

None of these

3.

$If...A\sin^245°=\operatorname{cosec}30°,find...A.$

a)

1

b)

2

c)

4

d)

5

e)

None of these

4.

$Calculate...\cos⁡135°+\sin⁡120°-\tan⁡330°$

a)

$\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{2}+\frac{1}{\sqrt{3}}$

b)

$\frac{\sqrt{2}}{2}-\frac{\sqrt{3}}{2}+\frac{1}{\sqrt{3}}$

c)

$-\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{2}+\frac{1}{\sqrt{3}}$

d)

$-\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{2}-\frac{1}{\sqrt{3}}$

e)

None of these

5.

$Calculate...\tan⁡(-480°)-\sin⁡(-840°)$

a)

$\frac{3\sqrt{3}}{2}$

b)

$\frac{\sqrt{3}}{2}$

c)

$-\frac{\sqrt{3}}{2}$

d)

$-\frac{3\sqrt{3}}{2}$

e)

None of these

6.

$Find...\cos⁡θ\$ $when\ \ 0≤θ<\frac{π}{2}and\ ;\tan⁡θ=5.$

a)

$-\frac{1}{\sqrt{26}}$

b)

$-\frac{1}{\sqrt{6}}$

c)

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

d)

$\frac{1}{\sqrt{26}}$

e)

None of these

7.

$Given...\sin⁡θ=-\frac{1}{2}and...\sec⁡θ<0$ $Find...1-2\sin^2θ\cos⁡θ.$

a)

$\frac{4+\sqrt{3}}{4}$

b)

$\frac{4\sqrt{3}}{4}$

c)

$\frac{4-\sqrt{3}}{4}$

d)

$-\frac{4\sqrt{3}}{4}$

e)

None of these

8.

$Find...\sin⁡θ$ $when..π≤θ≤\ \frac{3π}{2}\ and..\cot⁡θ=4.$

a)

$\frac{1}{\sqrt{17}}$

b)

$-\frac{1}{\sqrt{17}}$

c)

$-\sqrt{17}$

d)

$\sqrt{17}$

e)

None of these

9.

$Find...(1+\tan^250°)(1-\sin^250°).$

a)

$\frac{1}{2}$

b)

1

c)

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

d)

2

e)

None of these

10.

$Simplify...\ \frac{(1-\cos^2θ)(1+\tan^2θ)}{\sin^2θ}.$

a)

$\sec^2θ$

b)

$\operatorname{cosec}^2θ$

c)

$\tan^2θ\sin^2θ$

d)

1

e)

None of these

11.

$Calculate....\sin⁡105°$

a)

$\frac{\sqrt{6}-\sqrt{2}}{4}$

b)

$\frac{\sqrt{6}-\sqrt{2}}{2}$

c)

$\frac{\sqrt{6}+\sqrt{2}}{4}$

d)

$\frac{\sqrt{6}+\sqrt{2}}{2}$

e)

None of these

12.

$Calculate$ $\sin⁡15°\cos⁡75°+\sin⁡75°\cos⁡15°.$

a)

0

b)

-1

c)

$\frac{1}{2}$

d)

1

e)

None of these

13.

$Simplify\ ...\ \frac{\sin⁡2A}{(1-\cos⁡2A)}.$

a)

$\tan⁡A$

b)

$\cot⁡A$

c)

1

d)

2

e)

None of these

14.

$Given..\sin⁡A=\frac{3}{5}\ ..and..0<A<\ \frac{π}{2}$ $Find...\sin⁡2A.$

a)

$\frac{24}{25}$

b)

$-\frac{24}{25}$

c)

$\frac{8}{3}$

d)

$-\frac{8}{3}$

e)

None of these

15.

$Find...\cos⁡3θ$ $if\sin⁡θ=-\frac{1}{2}\ \ ..when..π<θ<\frac{3π}{2}.$

a)

-1

b)

-2

c)

0

d)

5

e)

None of these

16.

$Calculate...2\sin⁡45°\cos⁡15°.$

a)

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

b)

$\frac{\sqrt{3}+1}{2}$

c)

$\frac{\sqrt{2}+1}{3}$

d)

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

e)

None of these

17.

$Calculate...-4\sin⁡45°\cos⁡135°.$

a)

2

b)

1

c)

0

d)

$\sqrt{2}$

e)

None of these

18.

Find the value of $\arcsin⁡(\cos^2\ \frac{π}{12}-\sin^2\ \frac{5π}{12})$

a)

0

b)

$\frac{\pi}{2}$

c)

$\frac{\pi}{3}$

d)

$\frac{\pi}{4}$

e)

None of these

19.

$Find...\ \frac{\sin⁡110°+\sin⁡20°}{\cos⁡110°+\cos⁡20°}.$

a)

0

b)

$\cot⁡65°$

c)

$\sqrt{5}-1$

d)

$\tan⁡65°$

e)

None of these

20.

$∆ABC;\ \angle BAC=60°,\ \overline{AB}=5\ cm,\ \overline{AC}=3\ cm$ $Find..the..area..of∆ABC$

a)

$\frac{15}{2}\ cm^2$

b)

$\frac{15\sqrt{3}}{2}\ \ cm^2$

c)

$\frac{15\sqrt{3}}{4}\ \ cm^2$

d)

$\frac{\sqrt{3}}{4}\ \ cm^2$

e)

None of these

ข้อสอบท้ายบท ประยุกต์อัตราส่วนตรีโกณมิติ ม.3 โดย พี่นัท

Total questions: 20

Worksheet time: 2hrs 40mins

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