What is the general solution for cos(x)(tan(x)-sqrt(3))=0 ?

The general solution for cos(x)(tan(x)-sqrt(3))=0 is x= pi/3+pin

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cos(x)(tan(x)-sqrt(3))=0

cos (x) (tan (x) - 3) = 0

x = \frac{π}{3} + πn

Solution steps

cos (x) (tan (x) - 3) = 0

Solving each part separately

cos (x) = 0 or tan (x) - 3 = 0

cos (x) = 0 : x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

tan (x) - 3 = 0 : x = \frac{π}{3} + πn

Combine all the solutions

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

Since the equation is undefined for:

\frac{π}{2} + 2 πn, \frac{3 π}{2} + 2 πn

x = \frac{π}{3} + πn

2 + 2 cos (t) = 6 cos (t)

2 cos (x) + 1 = cos (x)

sin (\frac{( 60 )}{7}) = sin (\frac{( 81 )}{a})

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

sin (\frac{x}{3}) = - 0.85

What is the general solution for cos(x)(tan(x)-sqrt(3))=0 ?
The general solution for cos(x)(tan(x)-sqrt(3))=0 is x= pi/3+pin