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Popular >

sin(x)tan(x)+sqrt(3)sin(x)=0

Solution

sin (x) tan (x) + 3 sin (x) = 0

Solution

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

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Solution steps

sin (x) tan (x) + 3 sin (x) = 0

Factor

sin (x) tan (x) + 3 sin (x) : sin (x) (tan (x) + 3)

sin (x) (tan (x) + 3) = 0

Solving each part separately

sin (x) = 0 or tan (x) + 3 = 0

sin (x) = 0 : x = 2 πn, x = π + 2 πn

tan (x) + 3 = 0 : x = \frac{2 π}{3} + πn

Combine all the solutions

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

Popular Examples

4=5+3sin(2t-pi/5)

4 = 5 + 3 sin (2 t - \frac{π}{5})

sin^2(2x)+2*cos^2(x)-2=0

sin^{2} (2 x) + 2 \cdot cos^{2} (x) - 2 = 0

tan(θ)=-0.5586,0<= θ<2pi

tan (θ) = - 0.5586, 0 \leq θ < 2 π

6cos^2(x)-sin(x)-5=0,0<= x<= 2pi

6 cos^{2} (x) - sin (x) - 5 = 0, 0 \leq x \leq 2 π

sin(4x)=sin(3x)

sin (4 x) = sin (3 x)

Frequently Asked Questions (FAQ)

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