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Popular >

2cos(pi/5 x)=sqrt(3)

Solution

2 cos (\frac{π}{5} x) = 3

Solution

x = \frac{5}{6} + 10 n, x = \frac{55}{6} + 10 n

+1

Solution steps

2 cos (\frac{π}{5} x) = 3

Divide both sides by

2

cos (\frac{π}{5} x) = \frac{3}{2}

General solutions for

cos (\frac{π}{5} x) = \frac{3}{2}

\frac{π}{5} x = \frac{π}{6} + 2 πn, \frac{π}{5} x = \frac{11 π}{6} + 2 πn

Solve

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

Solve

\frac{π}{5} x = \frac{11 π}{6} + 2 πn : x = \frac{55}{6} + 10 n

x = \frac{5}{6} + 10 n, x = \frac{55}{6} + 10 n

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Frequently Asked Questions (FAQ)

What is the general solution for 2cos(pi/5 x)=sqrt(3) ?
The general solution for 2cos(pi/5 x)=sqrt(3) is x= 5/6+10n,x= 55/6+10n