What is the general solution for sin(x+pi/6)+sin(x-pi/6)=(sqrt(3))/2 ?

The general solution for sin(x+pi/6)+sin(x-pi/6)=(sqrt(3))/2 is x= pi/6+2pin,x=(5pi)/6+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x+pi/6)+sin(x-pi/6)=(sqrt(3))/2

sin (x + \frac{π}{6}) + sin (x - \frac{π}{6}) = \frac{3}{2}

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Solution steps

sin (x + \frac{π}{6}) + sin (x - \frac{π}{6}) = \frac{3}{2}

Rewrite using trig identities

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

Divide both sides by

3

sin (x) = \frac{1}{2}

General solutions for

sin (x) = \frac{1}{2}

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

c, s = \frac{sin ^{2} ( c )}{2}

3 sin^{2} (θ) + 4 cos^{2} (θ) = 4

tan^{2} (x) - 3 tan (x) - 2 = 0

sin (3 x) + 1 = cos (3 x)

6 sin^{2} (x) = 5

What is the general solution for sin(x+pi/6)+sin(x-pi/6)=(sqrt(3))/2 ?
The general solution for sin(x+pi/6)+sin(x-pi/6)=(sqrt(3))/2 is x= pi/6+2pin,x=(5pi)/6+2pin