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Основні тригонометричні тотожності

Authored by Роман Савчин

Mathematics

Professional Development

Used 87+ times

Основні тригонометричні тотожності
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15 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 (1sin2x)tg2x=\left(1-\sin^2x\right)\cdot tg^2x=  

 cos2x\cos^2x  

 sin2x\sin^2x  

 ctg2x\operatorname{ctg}^2x  

 tg2xtg^2x  

 11  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 1cos2αsinαcosα\frac{1-\cos^2\alpha}{\sin\alpha\cdot\cos\alpha}  

 cosα\cos\alpha  

 sinα\sin\alpha  

 tgαtg\alpha  

 ctgα\operatorname{ctg}\alpha  

 11  

3.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

 tgαcosαsinα1=\frac{tg\alpha\cdot\cos\alpha}{\sin\alpha}-1=  

(a)  

4.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

 (sin2βctg2β)+sin2β=\left(\sin^2\beta\cdot\operatorname{ctg}^2\beta\right)+\sin^2\beta=  

(a)  

5.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

 1sin2α1cos2α  tg2α=\frac{1-\sin^2\alpha}{1-\cos^2\alpha}\ \cdot\ tg^2\alpha=  

(a)  

6.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

 tgαctgβsinβcosαcosβsinα+2=tg\alpha\cdot\operatorname{ctg}\beta\cdot\frac{\sin\beta\cos\alpha}{\cos\beta\sin\alpha}+2=  



(a)  

7.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

 (sinα+cosα)2+(sinαcosα)2=\left(\sin\alpha+\cos\alpha\right)^2+\left(\sin\alpha-\cos\alpha\right)^2=  

(a)  

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