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Тригонометриялық тепе-теңдіктер

Authored by Мухамбет Забыханов

Mathematics

9th Grade

Used 21+ times

Тригонометриялық тепе-теңдіктер
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8 questions

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1.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

 π2 \frac{\pi}{2}\   бұрышын градуспен өрнектеңіз

 30°30^{\degree}  

 45°45^{\degree}  

 60°60^{\degree}  

 90°90^{\degree}  

2.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Негізгі тригонометриялық тепе-теңдіктерді белгілеңіз

sin2α+cos2α=1\sin^2\alpha+\cos^2\alpha=1

2sinαcosα=2sinα2\sin\alpha\cos\alpha=2\sin\alpha

tgα=sinαcosαtg\alpha=\frac{\sin\alpha}{\cos\alpha}

ctgα=cosαsinα\operatorname{ctg}\alpha=\frac{\cos\alpha}{\sin\alpha}

(sinα+cosα)2=sin2α+cos2α\left(\sin\alpha+\cos\alpha\right)^2=\sin^2\alpha+\cos^2\alpha

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

 sin60°\sin60^{\degree}  мәні неге тең?

 12\frac{1}{2}  

 11  

 3\sqrt{3}  

 32\frac{\sqrt{3}}{2}  

4.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

 tg30°tg30^{\degree}  мәні неге тең?

 12\frac{1}{2}  

 3\sqrt{3}  

 22\frac{\sqrt{2}}{2}  

 33\frac{\sqrt{3}}{3}  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 tgα=3 tg\alpha=3\   болса,  ctgα\operatorname{ctg}\alpha  мәні неге тең?

 ctgα=13\operatorname{ctg}\alpha=\frac{1}{3}  

 ctgα=33\operatorname{ctg}\alpha=\frac{\sqrt{3}}{3}  

 ctgα=3\operatorname{ctg}\alpha=\sqrt{3}  

 ctgα=23\operatorname{ctg}\alpha=\frac{2}{3}  

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 sinα=32\sin\alpha=\frac{\sqrt{3}}{2}   болса,  cosα\cos\alpha  мәнін табыңыз

 cosα=13\cos\alpha=\frac{1}{3}  

 cosα=12\cos\alpha=\frac{1}{2}  

 cosα=3\cos\alpha=\sqrt{3}  

 cosα=22\cos\alpha=\frac{\sqrt{2}}{2}  

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 cosα=45\cos\alpha=\frac{4}{5}   болса,  sinα\sin\alpha  мәнін табыңыз

 sinα=35\sin\alpha=\frac{3}{5}  

 sinα=34\sin\alpha=\frac{\sqrt{3}}{4}  

 sinα=22\sin\alpha=\frac{\sqrt{2}}{2}  

 sinα=1\sin\alpha=1  

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