What is the general solution for tan(2x)=(((300))/(200-(-400))*2) ?

The general solution for tan(2x)=(((300))/(200-(-400))*2) is x= pi/8+(pin)/2

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tan(2x)=(((300))/(200-(-400))*2)

tan (2 x) = (\frac{( 300 )}{200 - ( - 400 )} \cdot 2)

x = \frac{π}{8} + \frac{πn}{2}

Solution steps

tan (2 x) = (\frac{( 300 )}{200 - ( - 400 )} \cdot 2)

Simplify

\frac{300}{200 - ( - 400 )} \cdot 2 : 1

General solutions for

tan (2 x) = 1

2 x = \frac{π}{4} + πn

Solve

2 x = \frac{π}{4} + πn : x = \frac{π}{8} + \frac{πn}{2}

x = \frac{π}{8} + \frac{πn}{2}

cos (2 x) = 0.37

15 cot^{2} (x) = 5

cos (2 x) - sin (x) = 1, 0 \leq x < 2 π

sec^{2} (x) + 5 sec (x) - 14 = 0

3 cos^{2} (x) = 1

What is the general solution for tan(2x)=(((300))/(200-(-400))*2) ?
The general solution for tan(2x)=(((300))/(200-(-400))*2) is x= pi/8+(pin)/2