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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

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 (1−sin⁡2x)⋅tg2x=\left(1-\sin^2x\right)\cdot tg^2x=  

 cos⁡2x\cos^2x  

 sin⁡2x\sin^2x  

 ctg⁡2x\operatorname{ctg}^2x  

 tg2xtg^2x  

 11  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 1−cos⁡2αsin⁡α⋅cos⁡α\frac{1-\cos^2\alpha}{\sin\alpha\cdot\cos\alpha}  

 cos⁡α\cos\alpha  

 sin⁡α\sin\alpha  

 tgαtg\alpha  

 ctg⁡α\operatorname{ctg}\alpha  

 11  

3.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

 tgα⋅cos⁡αsin⁡α−1=\frac{tg\alpha\cdot\cos\alpha}{\sin\alpha}-1=  

(a)  

4.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

 (sin⁡2β⋅ctg⁡2β)+sin⁡2β=\left(\sin^2\beta\cdot\operatorname{ctg}^2\beta\right)+\sin^2\beta=  

(a)  

5.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

 1−sin⁡2α1−cos⁡2α ⋅ 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

 tgα⋅ctg⁡β⋅sin⁡βcos⁡αcos⁡βsin⁡α+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

 (sin⁡α+cos⁡α)2+(sin⁡α−cos⁡α)2=\left(\sin\alpha+\cos\alpha\right)^2+\left(\sin\alpha-\cos\alpha\right)^2=  

(a)  

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