What is the general solution for tan(2x)= 24/7 ?

The general solution for tan(2x)= 24/7 is x=(1.28700…)/2+(pin)/2

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tan(2x)= 24/7

tan (2 x) = \frac{24}{7}

x = \frac{1.28700 \dots}{2} + \frac{πn}{2}

Solution steps

tan (2 x) = \frac{24}{7}

Apply trig inverse properties

2 x = arctan (\frac{24}{7}) + πn

Solve

2 x = arctan (\frac{24}{7}) + πn : x = \frac{arctan ( \frac{24}{7} )}{2} + \frac{πn}{2}

x = \frac{arctan ( \frac{24}{7} )}{2} + \frac{πn}{2}

Show solutions in decimal form

x = \frac{1.28700 \dots}{2} + \frac{πn}{2}

x, 80 = 75 - 60 cos (\frac{[ π \cdot x ]}{15})

sin (θ) = (0.65)

cos (θ) = \frac{800 cos ( 7 0 ^{\circ} )}{425}

csc^{(2)} (x) - cot (x) = 2, 0 <, x < 360

2 sin (x) + \frac{3}{4} = \frac{3}{2}

What is the general solution for tan(2x)= 24/7 ?
The general solution for tan(2x)= 24/7 is x=(1.28700…)/2+(pin)/2