What is the general solution for 2tan(2x+10)=-5.5 ?

The general solution for 2tan(2x+10)=-5.5 is x=-5+(pin)/2-(1.22202…)/2

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2tan(2x+10)=-5.5

2 tan (2 x + 10) = - 5.5

x = - 5 + \frac{πn}{2} - \frac{1.22202 \dots}{2}

Solution steps

2 tan (2 x + 10) = - 5.5

Divide both sides by

2

tan (2 x + 10) = - 2.75

Apply trig inverse properties

2 x + 10 = arctan (- 2.75) + πn

Solve

2 x + 10 = arctan (- 2.75) + πn : x = - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

x = - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

Show solutions in decimal form

x = - 5 + \frac{πn}{2} - \frac{1.22202 \dots}{2}

sin (t) = sin (2 t)

\frac{3}{2} = cos (x)

tan (x + \frac{π}{6}) = \frac{2}{3}

4 cos^{2} (x) + 4 sin (x) - 5 = 0

sin (\frac{a x}{2}) = 0

What is the general solution for 2tan(2x+10)=-5.5 ?
The general solution for 2tan(2x+10)=-5.5 is x=-5+(pin)/2-(1.22202…)/2