Free Printable 20 Тригонометриялық теңдеу

1.

@sagi_space

$\cos2x=\frac{1}{2}$

a)

$x=\frac{\pi}{6}+\pi n;\ n\not\supset z$

b)

$x=\frac{\pi}{6}+\pi n;\ n\in z$

c)

1

d)

0

2.

@sagi_space

$\sin3x=-\frac{\sqrt[]{2}}{2}$

a)

$x=\left(-1\right)^{n+1}\ \frac{\pi}{12}+\frac{\pi n}{3};\ n\supseteq z$

b)

$x=\left(-1\right)^{n+1}\ \frac{\pi}{12}+\frac{\pi n}{3};\ n\in z$

c)

1

d)

0

3.

@sagi_space

$3tgx-\sqrt[]{3}=0$

a)

$x=\frac{\pi}{6}+\pi n;\ n\in z$

b)

$x=\frac{\pi}{6}+3\pi;\ n\in z$

c)

tgx

d)

-3

4.

@sagi_space

$\sin3x\cdot\cos3x\ =0.5$

a)

$x=\frac{\pi}{12}+\frac{\pi n}{3};\ n\in z$

b)

$x=-\frac{\pi}{12}+\frac{\pi n}{3};\ n\in z$

c)

0

d)

1

5.

@sagi_space

cos3x+cosx=0

a)

$x=12\pi+1$

b)

$x=2\pi+3;\ n\in z$

c)

$x_1=\frac{\pi}{4}+\frac{\pi n}{4};\ n\in z\ x_2=\frac{\pi}{2}+\pi n;\ n\in z$

d)

0

6.

@sagi_space

$\cos10x\cos6x-\cos^28x=0$ теңдеу түбірін тап

a)

$x=\frac{\pi n}{2};n\ni z$

b)

$x=\frac{\pi n}{1};n\ni z$

c)

$x=\frac{\pi n}{2};\ n\in z$

d)

0

7.

@sagi_space

$5\sin^2x-3\sin x\cos x=2\cos^2x$ $x_1=?$

a)

$x_1=-ar\operatorname{ctg}\ \frac{2}{5}+\pi n;\ n\in z$

b)

$x_1=ar\operatorname{ctg}\ \frac{2}{5}+\pi n;\ n\in z\$

c)

$x_1=ar\operatorname{ctg}\ \frac{2}{7}+\pi n;\ n\in z$

d)

0

8.

@sagi_space

$2\sin^2x-5\sin x\cos x=\cos^2x-2$ $x_1=?$

a)

$x_1=ar\operatorname{ctg}\ \frac{1}{4}+\pi n;\ n\in z$

b)

$x_1=-ar\operatorname{ctg}\ \frac{1}{4}+\pi n;\ n\in z$

c)

0

d)

1

9.

@sagi_space

$3\sin\ \frac{x}{3}=0$

a)

$x=3\pi n$

b)

$x=-3\pi n$

c)

$x=2\pi n$

d)

0

10.

@sagi_space

$4\cos3x+4=0$

a)

$x=\frac{\pi}{3}+\frac{2\pi n}{3}$

b)

x=3

c)

$x=3\pi n$

d)

x=-1

20 Тригонометриялық теңдеу

Total questions: 10

Worksheet time: 3hrs 30mins

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