What is the general solution for tan(x)= 8/10 ?

The general solution for tan(x)= 8/10 is x=0.67474…+pin

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tan(x)= 8/10

tan (x) = \frac{8}{10}

x = 0.67474 \dots + πn

Solution steps

tan (x) = \frac{8}{10}

Cancel the common factor:

2

tan (x) = \frac{4}{5}

Apply trig inverse properties

x = arctan (\frac{4}{5}) + πn

Show solutions in decimal form

x = 0.67474 \dots + πn

3 cot (x) - 1 = 0

4 sin (3 θ) = 0

tan (2 θ) + 2 cos (θ) = 0, 0 \leq θ < 2 π

- \frac{3}{2} = cos (θ)

tan (\frac{5 π}{4} + x) + tan (\frac{5 π}{4} - x) = 4

What is the general solution for tan(x)= 8/10 ?
The general solution for tan(x)= 8/10 is x=0.67474…+pin