What is the general solution for tan(2x)=-0.5 ?

The general solution for tan(2x)=-0.5 is x=-(0.46364…)/2+(pin)/2

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tan(2x)=-0.5

tan (2 x) = - 0.5

x = - \frac{0.46364 \dots}{2} + \frac{πn}{2}

Solution steps

tan (2 x) = - 0.5

Apply trig inverse properties

2 x = arctan (- 0.5) + πn

Solve

2 x = arctan (- 0.5) + πn : x = - \frac{arctan ( \frac{1}{2} )}{2} + \frac{πn}{2}

x = - \frac{arctan ( \frac{1}{2} )}{2} + \frac{πn}{2}

Show solutions in decimal form

x = - \frac{0.46364 \dots}{2} + \frac{πn}{2}

2 sin^{2} (x) + cos (x) - 1 = 0, in t er v a l^{0}, 2 π

tan (x) = \frac{100}{23}

4 sin (\frac{x}{2}) + 4 cos (x) = 0

cos (θ) cos (θ) = cot (θ)

3 sin (θ) - cos (2 θ) = 1

What is the general solution for tan(2x)=-0.5 ?
The general solution for tan(2x)=-0.5 is x=-(0.46364…)/2+(pin)/2