What is the general solution for sin(x)= 2/(sqrt(3)) ?

The general solution for sin(x)= 2/(sqrt(3)) is No Solution for x\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)= 2/(sqrt(3))

sin (x) = \frac{2}{3}

No Solution for x \in R

Solution steps

sin (x) = \frac{2}{3}

Simplify

\frac{2}{3} : \frac{2 3}{3}

\frac{2}{3}

Multiply by the conjugate

\frac{3}{3}

= \frac{2 3}{3 3}

33 = 3

33

Apply radical rule:

a a = a

33 = 3

= 3

= \frac{2 3}{3}

sin (x) = \frac{2 3}{3}

- 1 \leq sin (x) \leq 1

No Solution for x \in R

0.1 cos (x) + 0.45 sin (x) = 0.3125

2 sin (2 x) cos (3 x) + cos (3 x) = 0

cos^{2} (x) - 3 sin^{2} (x) = - 2

- 1 + sin (θ) = - 1

sin (x) + cos (x) = 1

What is the general solution for sin(x)= 2/(sqrt(3)) ?
The general solution for sin(x)= 2/(sqrt(3)) is No Solution for x\in\mathbb{R}