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Popular >

18sin^2(x)-9sin(x)=0

Solution

18 sin^{2} (x) - 9 sin (x) = 0

Solution

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

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Solution steps

18 sin^{2} (x) - 9 sin (x) = 0

Solve by substitution

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

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

sin (x) = 0 : x = 2 πn, x = π + 2 πn

Combine all the solutions

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

Popular Examples

3sin^2(θ)+6sin(θ)-11=7sin(θ)-9

3 sin^{2} (θ) + 6 sin (θ) - 11 = 7 sin (θ) - 9

solvefor x,2cos(x)-sqrt(3)=0 solve for

x, 2 cos (x) - 3 = 0

tan(θ)=(1.5)/(9.81)

tan (θ) = \frac{1.5}{9.81}

sin(x)+cos(x)=0,0<= x<= 2pi

sin (x) + cos (x) = 0, 0 \leq x \leq 2 π

tan^2(θ)+6tan(θ)+7=0

tan^{2} (θ) + 6 tan (θ) + 7 = 0

Frequently Asked Questions (FAQ)

What is the general solution for 18sin^2(x)-9sin(x)=0 ?
The general solution for 18sin^2(x)-9sin(x)=0 is x= pi/6+2pin,x=(5pi)/6+2pin,x=2pin,x=pi+2pin