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

The general solution for 2sin(2x+(3pi)/2)=sqrt(3) is x=pin-(7pi)/(12),x=pin-(5pi)/(12)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

2 sin (2 x + \frac{3 π}{2}) = 3

x = πn - \frac{7 π}{12}, x = πn - \frac{5 π}{12}

Solution steps

2 sin (2 x + \frac{3 π}{2}) = 3

Divide both sides by

2

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

General solutions for

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

2 x + \frac{3 π}{2} = \frac{π}{3} + 2 πn, 2 x + \frac{3 π}{2} = \frac{2 π}{3} + 2 πn

Solve

2 x + \frac{3 π}{2} = \frac{π}{3} + 2 πn : x = πn - \frac{7 π}{12}

Solve

2 x + \frac{3 π}{2} = \frac{2 π}{3} + 2 πn : x = πn - \frac{5 π}{12}

x = πn - \frac{7 π}{12}, x = πn - \frac{5 π}{12}

2 cos (θ) - 2 = 6 cos (θ)

10 sin^{2} (x) + 15 sin (x) + 5 = 0

3 sin (θ) - 1 = - 1

sin (x) = \frac{6.2}{8}

cos (2 θ) = \frac{3}{2}, 0 \leq θ \leq 2 π

What is the general solution for 2sin(2x+(3pi)/2)=sqrt(3) ?
The general solution for 2sin(2x+(3pi)/2)=sqrt(3) is x=pin-(7pi)/(12),x=pin-(5pi)/(12)