What is the general solution for tan(x)= 80/50 ?

The general solution for tan(x)= 80/50 is x=1.01219…+pin

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tan(x)= 80/50

tan (x) = \frac{80}{50}

x = 1.01219 \dots + πn

Degrees

x = 57.99461 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{80}{50}

Cancel the common factor:

10

tan (x) = \frac{8}{5}

Apply trig inverse properties

tan (x) = \frac{8}{5}

General solutions for

tan (x) = \frac{8}{5}

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

x = arctan (\frac{8}{5}) + πn

x = arctan (\frac{8}{5}) + πn

Show solutions in decimal form

x = 1.01219 \dots + πn

- cos (x) + 4 cos (2 x) = 0

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

sin^{2} (x) + 5 sin (x) = 0

tan (α) = - \frac{4}{3}, \frac{π}{2} < α < π, cos (β) = \frac{1}{2}, 0 < β < \frac{π}{2}

- 3 cot (\frac{3 x}{2}) csc (\frac{3 x}{2}) = 0

What is the general solution for tan(x)= 80/50 ?
The general solution for tan(x)= 80/50 is x=1.01219…+pin