What is the general solution for tan(x)= 6/4 ?

The general solution for tan(x)= 6/4 is x=0.98279…+pin

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tan(x)= 6/4

tan (x) = \frac{6}{4}

x = 0.98279 \dots + πn

Degrees

x = 56.30993 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{6}{4}

Cancel the common factor:

2

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

Apply trig inverse properties

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

General solutions for

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

tan (x) = a \Rightarrow x = arctan (a) + πn

x = arctan (\frac{3}{2}) + πn

x = arctan (\frac{3}{2}) + πn

Show solutions in decimal form

x = 0.98279 \dots + πn

cot (x) sin^{2} (x) = 4 cot (x)

x, sin (x) + cos (y) = sin (x) cos (y)

x, z = arctan (\frac{x}{y})

- \frac{1}{2} = cos (θ)

4 cos^{2} (x) - 3 cos (x) - 2 = 0

What is the general solution for tan(x)= 6/4 ?
The general solution for tan(x)= 6/4 is x=0.98279…+pin