What is the general solution for solvefor x,cos(3y)=tan(2x) ?

The general solution for solvefor x,cos(3y)=tan(2x) is x=(arctan(cos(3y)))/2+(pin)/2

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solvefor x,cos(3y)=tan(2x)

solve for

x, cos (3 y) = tan (2 x)

x = \frac{arctan ( cos ( 3 y ) )}{2} + \frac{πn}{2}

Solution steps

cos (3 y) = tan (2 x)

Switch sides

tan (2 x) = cos (3 y)

Apply trig inverse properties

tan (2 x) = cos (3 y)

General solutions for

tan (2 x) = cos (3 y)

tan (x) = a \Rightarrow x = arctan (a) + πn

2 x = arctan (cos (3 y)) + πn

2 x = arctan (cos (3 y)) + πn

Solve

2 x = arctan (cos (3 y)) + πn : x = \frac{arctan ( cos ( 3 y ) )}{2} + \frac{πn}{2}

2 x = arctan (cos (3 y)) + πn

Divide both sides by

2

2 x = arctan (cos (3 y)) + πn

Divide both sides by

2

\frac{2 x}{2} = \frac{arctan ( cos ( 3 y ) )}{2} + \frac{πn}{2}

Simplify

x = \frac{arctan ( cos ( 3 y ) )}{2} + \frac{πn}{2}

x = \frac{arctan ( cos ( 3 y ) )}{2} + \frac{πn}{2}

x = \frac{arctan ( cos ( 3 y ) )}{2} + \frac{πn}{2}

x, cos (x) = - \frac{26}{26}

6 cot (x) + 5 = - 1

11 csc (x) + 15 = 9 csc (x) + 19

sin^{2} (x) = \frac{tan ( x )}{2}

98 \cdot sin (θ) - 19.6 \cdot cos (θ) = 75.1

What is the general solution for solvefor x,cos(3y)=tan(2x) ?
The general solution for solvefor x,cos(3y)=tan(2x) is x=(arctan(cos(3y)))/2+(pin)/2