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Redukcijos formulių taikymas -11

Total questions: 18

Worksheet time: 15mins

Name
Class
Date
1.

Nurodyk teisingą lygybę

a)

sin⁡2α+cos⁡2α=2\sin^2\alpha+\cos^2\alpha=2

b)

sin⁡2α+cos⁡2α=tg2α\sin^2\alpha+\cos^2\alpha=tg^2\alpha

c)

sin⁡2α+cos⁡2α=1\sin^2\alpha+\cos^2\alpha=1

d)

tg2α+ctg⁡2α=1tg^2\alpha+\operatorname{ctg}^2\alpha=1

2.

Nurodyk teisingą lygybę

a)

ctg⁡α=sin⁡αcos⁡α\operatorname{ctg}\alpha=\frac{\sin\alpha}{\cos\alpha}

b)

sin⁡αcos⁡α=1\frac{\sin\alpha}{\cos\alpha}=1

c)

sin⁡αcos⁡α=2\frac{\sin\alpha}{\cos\alpha}=2

d)

sin⁡αcos⁡α=tgα\frac{\sin\alpha}{\cos\alpha}=tg\alpha

3.

Nurodyk teisingą lygybę

a)

ctg⁡α=cos⁡αsin⁡α\operatorname{ctg}\alpha=\frac{\cos\alpha}{\sin\alpha}

b)

sin⁡αcos⁡α=1\frac{\sin\alpha}{\cos\alpha}=1

c)

sin⁡αcos⁡α=2\frac{\sin\alpha}{\cos\alpha}=2

d)

sin⁡αcos⁡α=tgα\frac{\sin\alpha}{\cos\alpha}=tg\alpha

4.

Kuri lygybė yra teisinga?

a)

tgα⋅ctg⁡α=sin⁡αtg\alpha\cdot\operatorname{ctg}\alpha=\sin\alpha  

b)

tgα⋅ctg⁡α=1tg\alpha\cdot\operatorname{ctg}\alpha=1  

c)

tgα⋅ctg⁡α=2tg\alpha\cdot\operatorname{ctg}\alpha=2  

d)

tgα⋅ctg⁡α=cos⁡αtg\alpha\cdot\operatorname{ctg}\alpha=\cos\alpha  

5.

Nurodyk teisingą lygybę

a)

sin⁡(90°+α)=cos⁡α\sin\left(90\degree+\alpha\right)=\cos\alpha

b)

sin⁡(90°+α)=−cos⁡α\sin\left(90\degree+\alpha\right)=-\cos\alpha

c)

sin⁡(90°+α)=sin⁡α\sin\left(90\degree+\alpha\right)=\sin\alpha

d)

sin⁡(90°+α)=−sin⁡α\sin\left(90\degree+\alpha\right)=-\sin\alpha

6.

Nurodyk teisingą lygybę

a)

sin⁡(180°+α)=cos⁡α\sin\left(180\degree+\alpha\right)=\cos\alpha

b)

sin⁡(180°+α)=−cos⁡α\sin\left(180\degree+\alpha\right)=-\cos\alpha

c)

sin⁡(180°+α)=sin⁡α\sin\left(180\degree+\alpha\right)=\sin\alpha

d)

sin⁡(180°+α)=−sin⁡α\sin\left(180\degree+\alpha\right)=-\sin\alpha

7.

Nurodyk teisingą lygybę

a)

sin⁡(180°−α)=cos⁡α\sin\left(180\degree-\alpha\right)=\cos\alpha

b)

sin⁡(180°−α)=−cos⁡α\sin\left(180\degree-\alpha\right)=-\cos\alpha

c)

sin⁡(180°−α)=sin⁡α\sin\left(180\degree-\alpha\right)=\sin\alpha

d)

sin⁡(180°−α)=−sin⁡α\sin\left(180\degree-\alpha\right)=-\sin\alpha

8.

Nurodyk teisingą lygybę

a)

cos⁡(180°+α)=cos⁡α\cos\left(180\degree+\alpha\right)=\cos\alpha

b)

cos⁡(180°+α)=−cos⁡α\cos\left(180\degree+\alpha\right)=-\cos\alpha

c)

cos⁡(180°+α)=sin⁡α\cos\left(180\degree+\alpha\right)=\sin\alpha

d)

cos⁡(180°+α)=−sin⁡α\cos\left(180\degree+\alpha\right)=-\sin\alpha

9.

Nurodyk teisingą lygybę

a)

cos⁡(90°+α)=cos⁡α\cos\left(90\degree+\alpha\right)=\cos\alpha

b)

cos⁡(90°+α)=−cos⁡α\cos\left(90\degree+\alpha\right)=-\cos\alpha

c)

cos⁡(90°+α)=sin⁡α\cos\left(90\degree+\alpha\right)=\sin\alpha

d)

cos⁡(90°+α)=−sin⁡α\cos\left(90\degree+\alpha\right)=-\sin\alpha

10.

Nurodyk teisingą lygybę

a)

tg(180°+α)=tgαtg\left(180\degree+\alpha\right)=tg\alpha

b)

tg(180°+α)=−tgαtg\left(180\degree+\alpha\right)=-tg\alpha

c)

tg(180°+α)=ctg⁡αtg\left(180\degree+\alpha\right)=\operatorname{ctg}\alpha

d)

tg(180°+α)=−ctg⁡αtg\left(180\degree+\alpha\right)=-\operatorname{ctg}\alpha

11.

Nurodyk teisingą lygybę

a)

tg(90°+α)=tgαtg\left(90\degree+\alpha\right)=tg\alpha

b)

tg(90°+α)=−tgαtg\left(90\degree+\alpha\right)=-tg\alpha

c)

tg(90°+α)=ctg⁡αtg\left(90\degree+\alpha\right)=\operatorname{ctg}\alpha

d)

tg(90°+α)=−ctg⁡αtg\left(90\degree+\alpha\right)=-\operatorname{ctg}\alpha

12.

Nurodyk teisingą lygybę

a)

ctg⁡(180°+α)=tgα\operatorname{ctg}\left(180\degree+\alpha\right)=tg\alpha

b)

ctg⁡(180°+α)=ctg⁡α\operatorname{ctg}\left(180\degree+\alpha\right)=\operatorname{ctg}\alpha

c)

ctg⁡(180°+α)=−ctg⁡α\operatorname{ctg}\left(180\degree+\alpha\right)=-\operatorname{ctg}\alpha

d)

ctg⁡(180°+α)=−tgα\operatorname{ctg}\left(180\degree+\alpha\right)=-tg\alpha

13.

Nurodyk teisingą lygybę

a)

ctg⁡(90°+α)=tgα\operatorname{ctg}\left(90\degree+\alpha\right)=tg\alpha

b)

ctg⁡(90°+α)=−tgα\operatorname{ctg}\left(90\degree+\alpha\right)=-tg\alpha

c)

ctg⁡(90°+α)=ctg⁡α\operatorname{ctg}\left(90\degree+\alpha\right)=\operatorname{ctg}\alpha

d)

ctg⁡(90°+α)=−ctg⁡α\operatorname{ctg}\left(90\degree+\alpha\right)=-\operatorname{ctg}\alpha

14.

Nurodyk teisingą lygybę

a)

ctg⁡(90°−α)=tgα\operatorname{ctg}\left(90\degree-\alpha\right)=tg\alpha

b)

ctg⁡(90°−α)=−tgα\operatorname{ctg}\left(90\degree-\alpha\right)=-tg\alpha

c)

ctg⁡(90°−α)=ctg⁡α\operatorname{ctg}\left(90\degree-\alpha\right)=\operatorname{ctg}\alpha

d)

ctg⁡(90°−α)=−ctg⁡α\operatorname{ctg}\left(90\degree-\alpha\right)=-\operatorname{ctg}\alpha

15.

Nurodyk teisingą lygybę

a)

sin⁡(90°−α)=cos⁡α\sin\left(90\degree-\alpha\right)=\cos\alpha

b)

sin⁡(90°−α)=−cos⁡α\sin\left(90\degree-\alpha\right)=-\cos\alpha

c)

sin⁡(90°−α)=sin⁡α\sin\left(90\degree-\alpha\right)=\sin\alpha

d)

sin⁡(90°−α)=−sin⁡α\sin\left(90\degree-\alpha\right)=-\sin\alpha

16.

sin⁡(270°+α)=\sin\left(270\degree+\alpha\right)=  

a)

−sin⁡α-\sin\alpha  

b)

sin⁡α\sin\alpha  

c)

cos⁡α\cos\alpha  

d)

−cos⁡α-\cos\alpha  

17.

cos⁡(270°−α)=\cos\left(270\degree-\alpha\right)=  

a)

−sin⁡α-\sin\alpha  

b)

sin⁡α\sin\alpha  

c)

cos⁡α\cos\alpha  

d)

−cos⁡α-\cos\alpha  

18.

cos⁡(360°−α)=\cos\left(360\degree-\alpha\right)=  

a)

−sin⁡α-\sin\alpha  

b)

sin⁡α\sin\alpha  

c)

cos⁡α\cos\alpha  

d)

−cos⁡α-\cos\alpha  

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