en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2sin^2(x)=sin(x),0<= x<= 2pi

Solution

2 sin^{2} (x) = sin (x), 0 \leq x \leq 2 π

Solution

x = \frac{π}{6}, x = \frac{5 π}{6}, x = 0, x = π, x = 2 π

+1

Solution steps

2 sin^{2} (x) = sin (x), 0 \leq x \leq 2 π

Solve by substitution

sin (x) = \frac{1}{2}, sin (x) = 0

sin (x) = \frac{1}{2}, 0 \leq x \leq 2 π : x = \frac{π}{6}, x = \frac{5 π}{6}

sin (x) = 0, 0 \leq x \leq 2 π : x = 0, x = π, x = 2 π

Combine all the solutions

x = \frac{π}{6}, x = \frac{5 π}{6}, x = 0, x = π, x = 2 π

Popular Examples

3sin(x)+4=5cos(x),[0.2pi]

3 sin (x) + 4 = 5 cos (x), [0.2 π]

cos^2(x)+cos^2(2x)=1

cos^{2} (x) + cos^{2} (2 x) = 1

tan^2(θ)-3sec(θ)=-3

tan^{2} (θ) - 3 sec (θ) = - 3

arctan(w/2)+arctan(w/4)+arctan(w/6)=180

arctan (\frac{w}{2}) + arctan (\frac{w}{4}) + arctan (\frac{w}{6}) = 18 0^{\circ}

sin (x + \frac{π}{6}) = 0

Frequently Asked Questions (FAQ)

What is the general solution for 2sin^2(x)=sin(x),0<= x<= 2pi ?
The general solution for 2sin^2(x)=sin(x),0<= x<= 2pi is x= pi/6 ,x=(5pi)/6 ,x=0,x=pi,x=2pi