What is the general solution for tan(2x)=-1.8 ?

The general solution for tan(2x)=-1.8 is x=-(1.06369…)/2+(pin)/2

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tan(2x)=-1.8

tan (2 x) = - 1.8

x = - \frac{1.06369 \dots}{2} + \frac{πn}{2}

Solution steps

tan (2 x) = - 1.8

Apply trig inverse properties

2 x = arctan (- 1.8) + πn

Solve

2 x = arctan (- 1.8) + πn : x = - \frac{arctan ( \frac{9}{5} )}{2} + \frac{πn}{2}

x = - \frac{arctan ( \frac{9}{5} )}{2} + \frac{πn}{2}

Show solutions in decimal form

x = - \frac{1.06369 \dots}{2} + \frac{πn}{2}

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

5 cot (x) + 3 = - 2

2 sin^{2} (x) - cos (x) = 0

3 cos (x) (sin (x) + tan (x)) = 2 (1 + cos (x))

cos (x) = \frac{8.8}{13}

What is the general solution for tan(2x)=-1.8 ?
The general solution for tan(2x)=-1.8 is x=-(1.06369…)/2+(pin)/2