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Popular >

2sin^2(x)-sqrt(3)sin(x)=0

Solution

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

Solution

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

+1

Solution steps

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

Solve by substitution

sin (x) = \frac{3}{2}, sin (x) = 0

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

sin (x) = 0 : x = 2 πn, x = π + 2 πn

Combine all the solutions

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

Popular Examples

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

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

sec(x)-tan(x)=cos(x)

sec (x) - tan (x) = cos (x)

-2sin(x)=-sin(x)cos(x)

- 2 sin (x) = - sin (x) cos (x)

(0.9)/(cos(x))+(0.7*sin(x))=1.1

\frac{0.9}{cos ( x )} + (0.7 \cdot sin (x)) = 1.1

-sin^2(θ)+cos^2(θ)=1+sin(θ)

- sin^{2} (θ) + cos^{2} (θ) = 1 + sin (θ)

Frequently Asked Questions (FAQ)

What is the general solution for 2sin^2(x)-sqrt(3)sin(x)=0 ?
The general solution for 2sin^2(x)-sqrt(3)sin(x)=0 is x= pi/3+2pin,x=(2pi)/3+2pin,x=2pin,x=pi+2pin