What is the general solution for tan(2x)=-0.025 ?

The general solution for tan(2x)=-0.025 is x=-(0.02499…)/2+(pin)/2

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tan(2x)=-0.025

tan (2 x) = - 0.025

x = - \frac{0.02499 \dots}{2} + \frac{πn}{2}

Solution steps

tan (2 x) = - 0.025

Apply trig inverse properties

2 x = arctan (- 0.025) + πn

Solve

2 x = arctan (- 0.025) + πn : x = - \frac{arctan ( \frac{1}{40} )}{2} + \frac{πn}{2}

x = - \frac{arctan ( \frac{1}{40} )}{2} + \frac{πn}{2}

Show solutions in decimal form

x = - \frac{0.02499 \dots}{2} + \frac{πn}{2}

4 7^{\circ} = cos (x), x

cos (α) = \frac{7}{11}

x, m^{2} - m - 2 = sin (x)

2 sin^{2} (x) = sin (x) + 3, 0 \leq x \leq 2 π

- 15 sin (3 x) = 0

What is the general solution for tan(2x)=-0.025 ?
The general solution for tan(2x)=-0.025 is x=-(0.02499…)/2+(pin)/2