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Проверка №1 д/з по алгебре 9 кл. (начало тригонометрии)

Authored by Гульнара Сеитова

Mathematics

9th - 12th Grade

Used 2+ times

Проверка №1 д/з по алгебре 9 кл. (начало тригонометрии)
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10 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Известно, что 90°<α<180°90\degree<\alpha<180\degree .

Вычислите sin⁡α , если cos⁡α=−0,8\sin\alpha\ ,\ если\ \cos\alpha=-0,8

0,6

35\frac{3}{5}

0,2

-0,6

-0,2

2.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Известно, что 90°<α<180°90\degree<\alpha<180\degree .

Вычислите cos⁡α , если sin⁡α=0,6\cos\alpha\ ,\ если\ \sin\alpha=0,6

−0,8-0,8

45\frac{4}{5}

−45-\frac{4}{5}

0,2

-0,2

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

sin⁡(−α)cos⁡(π−α)=\frac{\sin\left(-\alpha\right)}{\cos\left(\pi-\alpha\right)}=

tgαtg\alpha

−tgα-tg\alpha

ctg⁡α\operatorname{ctg}\alpha

−ctg⁡α-\operatorname{ctg}\alpha

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

tg315°=tg315\degree=

  • −1-1

1

22\frac{\sqrt[]{2}}{2}

3\sqrt[]{3}

−3-\sqrt[]{3}

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Приведите тригонометрическую функцию

к функции угла α\alpha , где 0≤α≤π40\le\alpha\le\frac{\pi}{4} :

sin⁡(−49π4)\sin\left(-\frac{49\pi}{4}\right)

−sin⁡ π4-\sin\ \frac{\pi}{4}

sin⁡π4\sin\frac{\pi}{4}

cos⁡π4\cos\frac{\pi}{4}

−tg π4-tg\ \frac{\pi}{4}

tgπ4tg\frac{\pi}{4}

6.

MULTIPLE SELECT QUESTION

1 min • 1 pt

ctg⁡545°=\operatorname{ctg}545\degree=

ctg⁡5°\operatorname{ctg}5\degree

tg75°tg75\degree

−ctg⁡75°-\operatorname{ctg}75\degree

−ctg⁡5°-\operatorname{ctg}5\degree

−tg5°-tg5\degree

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

tg2(270°+α)⋅sin⁡2(180°+α)=tg^2\left(270\degree+\alpha\right)\cdot\sin^2\left(180\degree+\alpha\right)=

cos⁡2α\cos^2\alpha

cos⁡α2\cos\alpha^2

−cos⁡α-\cos\alpha

sin⁡2α\sin^2\alpha

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