What is the general solution for 2cos(pi/5 θ)=sqrt(3) ?

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

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2cos(pi/5 θ)=sqrt(3)

2 cos (\frac{π}{5} θ) = 3

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

Solution steps

2 cos (\frac{π}{5} θ) = 3

Divide both sides by

2

cos (\frac{π}{5} θ) = \frac{3}{2}

General solutions for

cos (\frac{π}{5} θ) = \frac{3}{2}

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

Solve

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

Solve

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

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

2 cos (x) - sin (2 x) = 0

sin (x) tan (x) - 6 tan (x) = 0

tan (θ) = sin (θ)

2 cos (x) - 2 sin (x) = 0

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

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