Trigonometric Equations I - Ambitious

Question 1: Solve the equation

c o s 4 x = - \frac{\sqrt{2}}{2}

.

A

\pm \frac{3 π}{4} + 2 π n, n \in Ζ

B

\pm \frac{{(- 1)}^{n + 1} \times π}{16} + \frac{π n}{4}, n \in Ζ

C

\pm \frac{3 π}{16} + 2 π n, n \in Ζ

D

\pm \frac{3 π}{16} + \frac{π n}{2}, n \in Ζ

Question 2: Solve the equation

\sin (t + \frac{π}{8}) = - 1

.

A

- \frac{5 π}{8} + 2 π n, n \in Ζ

B

- \frac{5 π}{16} + 2 π n, n \in Ζ

C

\frac{{(- 1)}^{n + 1} \times 5 π}{8} + π n, n \in Ζ

D

- \frac{5 π}{8} + π n, n \in Ζ

Question 3: Solve the equation

c t g x = - \frac{\sqrt{3}}{3}

.

A

x = - \frac{π}{3} + 2 π n, n \in Ζ

B

x = \frac{π}{3} + π n, n \in Ζ

C

x = - \frac{π}{6} + π n, n \in Ζ

D

x = - \frac{π}{3} + π n, n \in Ζ

Question 4: Solve

a r c s i n \frac{3}{5} + a r c c o s \frac{3}{5}

.

A

1

B

\frac{π}{2}

C

0

D

2 π

Question 5: Solve the equation

a r c c t g (5 - 8 x) = \frac{2 π}{3}

.

A

\frac{5 + \sqrt{3}}{8}

B

\frac{1}{2}

C

\frac{15 - 2 π}{24}

D

\frac{15 + \sqrt{3}}{24}

Test: Trigonometric Equations I - Ambitious