Excel in math and science.

Join using Facebook Join using Google Join using email

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Existing user? Log in

Trigonometric Equations

General Solution of Simple Trigonometric Equations

Which of the following is the general solution of $2\sqrt{3}=4\sin x?$

x=2n\pi\pm\frac{\pi}{6}

x=2n\pi\pm\frac{\pi}{3}

x=2n\pi+\frac{\pi}{6}

x=2n\pi+\frac{5}{6}\pi

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

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

Show explanation

View wiki

by Brilliant Staff

Which of the following is the general solution for the equation $\frac{\sqrt{3}}{3}=\tan4x?$

\frac{n}{4}\pi +\frac{\pi}{24}

{4}n\pi +\frac{\pi}{3}

{4}n\pi +\frac{\pi}{6}

\frac{n}{4}\pi +\frac{\pi}{12}

Show explanation

View wiki

by Brilliant Staff

Which of the following is the general solution for the equation $\sqrt{3}=2\sin(12x+\frac{3}{11}\pi)?$

x=2n\pi+\frac{1}{3}\pi

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

x=\frac{n}{6}\pi+\frac{1}{198}\pi

x=\frac{n}{6}\pi+\frac{13}{396}\pi

x=2n\pi+\frac{2}{33}\pi

x=2n\pi+\frac{13}{33}\pi

x=\frac{n}{6}\pi+\frac{1}{3}\pi

x=\frac{n}{6}\pi+\frac{1}{2}\pi

Show explanation

View wiki

by Brilliant Staff

What is the general solution for the equation $8\cos150^\circ=4\tan\left(7x+\frac{3}{7}\pi\right)?$

x=\left(\frac{2n}{7}\pm\frac{5}{147}\right)\pi

x=\left(\frac{2n}{7}\pm\frac{5}{49}\right)\pi

x=\left(\frac{n}{7}+\frac{5}{147}\right)\pi

x=\left(\frac{n}{7}+\frac{5}{49}\right)\pi

Show explanation

View wiki

by Brilliant Staff

Which of the following is a general solution of the equation $\tan \left(x+\frac{37}{3}\pi \right) = 1 ?$

n\pi-\frac{3\pi}{4}

n\pi+\frac{\pi}{12}

n\pi-\frac{\pi}{12}

n\pi+\frac{3\pi}{4}

Show explanation

View wiki

by Brilliant Staff