What is the general solution for tan(x)= 6/8 ?

The general solution for tan(x)= 6/8 is x=0.64350…+pin

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tan(x)= 6/8

tan (x) = \frac{6}{8}

x = 0.64350 \dots + πn

Degrees

x = 36.86989 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{6}{8}

Cancel the common factor:

2

tan (x) = \frac{3}{4}

Apply trig inverse properties

tan (x) = \frac{3}{4}

General solutions for

tan (x) = \frac{3}{4}

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

x = arctan (\frac{3}{4}) + πn

x = arctan (\frac{3}{4}) + πn

Show solutions in decimal form

x = 0.64350 \dots + πn

sin (\frac{1}{2} x) + cos (x) = 1

cos (x) tan^{2} (x) = cos (x)

1 + 2 sin (\frac{x ^{2}}{2}) = 0

2 sin^{2} (x) + 7 cos (x) = 5

2 sin^{2} (θ) - 3 sin (θ) + 1 = 0, 0 \leq θ < 2 π

What is the general solution for tan(x)= 6/8 ?
The general solution for tan(x)= 6/8 is x=0.64350…+pin