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

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

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tan(α)= 8/10

tan (α) = \frac{8}{10}

α = 0.67474 \dots + πn

Degrees

α = 38.65980 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (α) = \frac{8}{10}

Cancel the common factor:

2

tan (α) = \frac{4}{5}

Apply trig inverse properties

tan (α) = \frac{4}{5}

General solutions for

tan (α) = \frac{4}{5}

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

α = arctan (\frac{4}{5}) + πn

α = arctan (\frac{4}{5}) + πn

Show solutions in decimal form

α = 0.67474 \dots + πn

sin (2 x) + 2 \cdot cos (x) = 0

\frac{6.7}{sin ( 3 3 ^{\circ} )} = \frac{5.4}{sin ( A )}

2 - 3 sin (θ) = 0

cos (x) = - 0.83

y, x = cot (y)

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