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Popular >

6sin(pi/4 x)=3

Solution

6 sin (\frac{π}{4} x) = 3

Solution

x = \frac{2}{3} + 8 n, x = \frac{10}{3} + 8 n

+1

Solution steps

6 sin (\frac{π}{4} x) = 3

Divide both sides by

6

sin (\frac{π}{4} x) = \frac{1}{2}

General solutions for

sin (\frac{π}{4} x) = \frac{1}{2}

\frac{π}{4} x = \frac{π}{6} + 2 πn, \frac{π}{4} x = \frac{5 π}{6} + 2 πn

Solve

\frac{π}{4} x = \frac{π}{6} + 2 πn : x = \frac{2}{3} + 8 n

Solve

\frac{π}{4} x = \frac{5 π}{6} + 2 πn : x = \frac{10}{3} + 8 n

x = \frac{2}{3} + 8 n, x = \frac{10}{3} + 8 n

Popular Examples

sec(x)=3,(3pi)/2 <= x<= 2pi,sin(2x)

sec (x) = 3, \frac{3 π}{2} \leq x \leq 2 π, sin (2 x)

2+8cos(θ)=-1+2cos(θ)

2 + 8 cos (θ) = - 1 + 2 cos (θ)

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

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

2.5 = 10 sin (x)

4.797896cos(0.568x-2.595)=0

4.797896 cos (0.568 x - 2.595) = 0

Frequently Asked Questions (FAQ)

What is the general solution for 6sin(pi/4 x)=3 ?
The general solution for 6sin(pi/4 x)=3 is x= 2/3+8n,x= 10/3+8n