What is the general solution for sqrt(3)sec(5x)-2=0 ?

The general solution for sqrt(3)sec(5x)-2=0 is x= pi/(30)+(2pin)/5 ,x=(11pi}{30}+\frac{2pin)/5

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sqrt(3)sec(5x)-2=0

3 sec (5 x) - 2 = 0

x = \frac{π}{30} + \frac{2 πn}{5}, x = \frac{11 π}{30} + \frac{2 πn}{5}

Solution steps

3 sec (5 x) - 2 = 0

Move

2

to the right side

3 sec (5 x) = 2

Divide both sides by

3

sec (5 x) = \frac{2 3}{3}

General solutions for

sec (5 x) = \frac{2 3}{3}

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

Solve

5 x = \frac{π}{6} + 2 πn : x = \frac{π}{30} + \frac{2 πn}{5}

Solve

5 x = \frac{11 π}{6} + 2 πn : x = \frac{11 π}{30} + \frac{2 πn}{5}

x = \frac{π}{30} + \frac{2 πn}{5}, x = \frac{11 π}{30} + \frac{2 πn}{5}

cot^{2} (x) sec (x) - sec (x) = 2 cot^{2} (x) - 2

5 cot^{2} (x) - 2 csc (x) + 2 = 0

\frac{sin ( 7 5 ^{\circ} )}{101} = \frac{sin ( b )}{65}

3 tan (A) + 5 = 0

tan (2 x) = - \frac{( \frac{30 + 20}{2} )}{80}

What is the general solution for sqrt(3)sec(5x)-2=0 ?
The general solution for sqrt(3)sec(5x)-2=0 is x= pi/(30)+(2pin)/5 ,x=(11pi}{30}+\frac{2pin)/5