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Popular >

sin(x/3)cos(6x)-cos(x/3)sin(6x)=0

Solution

sin (\frac{x}{3}) cos (6 x) - cos (\frac{x}{3}) sin (6 x) = 0

Solution

x = - \frac{6 πn}{17}, x = - \frac{3 π}{17} - \frac{6 πn}{17}

+1

Solution steps

sin (\frac{x}{3}) cos (6 x) - cos (\frac{x}{3}) sin (6 x) = 0

Rewrite using trig identities

sin (\frac{x}{3} - 6 x) = 0

General solutions for

sin (\frac{x}{3} - 6 x) = 0

\frac{x}{3} - 6 x = 0 + 2 πn, \frac{x}{3} - 6 x = π + 2 πn

Solve

\frac{x}{3} - 6 x = 0 + 2 πn : x = - \frac{6 πn}{17}

Solve

\frac{x}{3} - 6 x = π + 2 πn : x = - \frac{3 π}{17} - \frac{6 πn}{17}

x = - \frac{6 πn}{17}, x = - \frac{3 π}{17} - \frac{6 πn}{17}

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