Free Printable Trigonometriskie vienādojumi un nevienādības.

1.

$\frac{\pi}{3}+\frac{\pi}{2}=$ vairākas atbildes

a)

$\frac{5\pi}{6}$

b)

$150\degree$

c)

$\frac{2\pi}{5}$

d)

$120\degree$

2.

$\sin x=1$

a)

$x=\ \frac{\pi}{2}+2\pi n$

b)

$x=-\frac{\pi}{2}+2\pi n$

c)

$x=\pi+2\pi n$

d)

$x=2\pi n$

3.

$\cos x=1$

a)

$x=\ \frac{\pi}{2}+2\pi n$

b)

$x=-\frac{\pi}{2}+2\pi n$

c)

$x=\pi+2\pi n$

d)

$x=2\pi n$

4.

$\cos x=-1$

a)

$x=\ \frac{\pi}{2}+2\pi n$

b)

$x=-\frac{\pi}{2}+2\pi n$

c)

$x=\pi+2\pi n$

d)

$x=2\pi n$

5.

$\sin x=-1$

a)

$x=\ \frac{\pi}{2}+2\pi n$

b)

$x=-\frac{\pi}{2}+2\pi n$

c)

$x=\pi+2\pi n$

d)

$x=2\pi n$

6.

$tgx=\sqrt{3}$

a)

$x=\frac{\pi}{3}+\pi n$

b)

$x=\frac{\pi}{6}+\pi n$

c)

$x=-\frac{\pi}{3}+\pi n$

d)

$x=-\frac{\pi}{6}+\pi n$

7.

$\operatorname{ctg}x=\sqrt{3}$

a)

$x=\frac{\pi}{3}+\pi n$

b)

$x=\frac{\pi}{6}+\pi n$

c)

$x=-\frac{\pi}{3}+\pi n$

d)

$x=-\frac{\pi}{6}+\pi n$

8.

$\operatorname{ctg}x=-\sqrt{3}$

a)

$x=\frac{\pi}{3}+\pi n$

b)

$x=\frac{\pi}{6}+\pi n$

c)

$x=-\frac{\pi}{3}+\pi n$

d)

$x=-\frac{\pi}{6}+\pi n$

9.

$tgx=\frac{\sqrt{3}}{3}$

a)

$x=\frac{\pi}{3}+\pi n$

b)

$x=\frac{\pi}{6}+\pi n$

c)

$x=-\frac{\pi}{3}+\pi n$

d)

$x=-\frac{\pi}{6}+\pi n$

10.

$tgx=-\frac{\sqrt{3}}{3}$

a)

$x=\frac{\pi}{6}+\pi n$

b)

$x=-\frac{\pi}{6}+\pi n$

c)

$x=-\frac{5\pi}{6}+\pi n$

d)

$x=\frac{5\pi}{6}+\pi n$

11.

$\sin\left(x+\frac{\pi}{3}\right)<-\frac{1}{2}$

a)

$x\in\left(-\frac{7\pi}{6}+2\pi n;\ -\frac{\pi}{2}+2\pi n\right)$

b)

$x\in\left(\frac{5\pi}{6}+2\pi n;\ \frac{9\pi}{6}+2\pi n\right)$

c)

$x\in\left(\frac{9\pi}{6}+2\pi n;\ \frac{5\pi}{6}+2\pi n\right)$

d)

$x\in\left(-\frac{\pi}{2}+2\pi n;\ -\frac{7\pi}{6}+2\pi n\right)$

12.

$tgx<\frac{\sqrt{3}}{3}$

a)

$x\in\left(\frac{7\pi}{6}+\pi n;\ \frac{3\pi}{2}+\pi n\right)$

b)

$x\in\left(\frac{\pi}{6}+\pi n;\ \frac{\pi}{2}+\pi n\right)$

c)

$x\in\left(-\frac{\pi}{2}+\pi n;\ \frac{\pi}{6}+\pi n\right)$

d)

$x\in\left(\frac{\pi}{2}+\pi n;\ \frac{7\pi}{2}+\pi n\right)$

13.

$\sin x=-\frac{\sqrt{3}}{2}$ Atbildē rakstīt tikai skaitļus, bez atarpēm. Piem: -45;135

(a)

14.

Vienības riņķī doti pagrieziena leņķi alfa un beta . Kurš no apgalvojumiem ir patiess?

a)

$\cos\alpha>\cos\beta$

b)

$\cos\alpha<\cos\beta$

c)

$\cos\alpha=\cos\beta$

d)

$\sin\alpha>\sin\beta$

15.

Nevienādības cos x < 0 atrisinājumu kopa ir attēlota zīmējumā.

a)

b)

c)

d)

Trigonometriskie vienādojumi un nevienādības.

Total questions: 15

Worksheet time: 39mins

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