What is the general solution for 2tan(2x)-10=3.4641 ?

The general solution for 2tan(2x)-10=3.4641 is x=(1.42333…)/2+(pin)/2

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2tan(2x)-10=3.4641

2 tan (2 x) - 10 = 3.4641

x = \frac{1.42333 \dots}{2} + \frac{πn}{2}

Solution steps

2 tan (2 x) - 10 = 3.4641

Move

10

to the right side

2 tan (2 x) = 13.4641

Divide both sides by

2

tan (2 x) = \frac{13.4641}{2}

Apply trig inverse properties

2 x = arctan (\frac{13.4641}{2}) + πn

Solve

2 x = arctan (\frac{13.4641}{2}) + πn : x = \frac{arctan ( \frac{13.4641}{2} )}{2} + \frac{πn}{2}

x = \frac{arctan ( \frac{13.4641}{2} )}{2} + \frac{πn}{2}

Show solutions in decimal form

x = \frac{1.42333 \dots}{2} + \frac{πn}{2}

8 cos^{2} (x) + 14 cos (x) = - 3

4 sin (x) cos (x) - 23 \cdot sin (x) - 2 cos (x) + 3 = 0

2 sin^{2} (θ) - 2 = 3 sin (θ)

4 sin^{2} (x) - 7 sin (x) + 3 = 0

2 sin (x - 1 0^{\circ}) = - 0.4

What is the general solution for 2tan(2x)-10=3.4641 ?
The general solution for 2tan(2x)-10=3.4641 is x=(1.42333…)/2+(pin)/2