What is the general solution for 2tan(x)-4=1 ?

The general solution for 2tan(x)-4=1 is x=1.19028…+pin

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2tan(x)-4=1

2 tan (x) - 4 = 1

x = 1.19028 \dots + πn

Solution steps

2 tan (x) - 4 = 1

Move

4

to the right side

2 tan (x) = 5

Divide both sides by

2

tan (x) = \frac{5}{2}

Apply trig inverse properties

x = arctan (\frac{5}{2}) + πn

Show solutions in decimal form

x = 1.19028 \dots + πn

sin (x) tan (x) - \frac{2}{2} tan (x) = 0

csc (θ) = - 2, 0 \leq θ < 4 π

- sin^{2} (x) + cos^{2} (x) = sin (x) + 1

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

tan (x) + cot (x) = 5

What is the general solution for 2tan(x)-4=1 ?
The general solution for 2tan(x)-4=1 is x=1.19028…+pin