What is the general solution for tan(4x+6)=-0.272 ?

The general solution for tan(4x+6)=-0.272 is x=-3/2+(pin)/4-(0.26557…)/4

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tan(4x+6)=-0.272

tan (4 x + 6) = - 0.272

x = - \frac{3}{2} + \frac{πn}{4} - \frac{0.26557 \dots}{4}

Solution steps

tan (4 x + 6) = - 0.272

Apply trig inverse properties

4 x + 6 = arctan (- 0.272) + πn

Solve

4 x + 6 = arctan (- 0.272) + πn : x = - \frac{3}{2} + \frac{πn}{4} - \frac{arctan ( \frac{34}{125} )}{4}

x = - \frac{3}{2} + \frac{πn}{4} - \frac{arctan ( \frac{34}{125} )}{4}

Show solutions in decimal form

x = - \frac{3}{2} + \frac{πn}{4} - \frac{0.26557 \dots}{4}

7 sin (θ) + 22 = 0

\frac{1}{2} sinh (2 x) - \frac{4}{5} cosh (2 x) + 1 = 0

7 sin^{2} (x) + 2 sin (x) - 2 = 0

3 cos (θ) - 1 = - 1

2 - 4 cos (x) = 0

What is the general solution for tan(4x+6)=-0.272 ?
The general solution for tan(4x+6)=-0.272 is x=-3/2+(pin)/4-(0.26557…)/4