What is the general solution for tan(θ)= 8/(-8) ?

The general solution for tan(θ)= 8/(-8) is θ=(3pi)/4+pin

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tan(θ)= 8/(-8)

tan (θ) = \frac{8}{- 8}

θ = \frac{3 π}{4} + πn

Solution steps

tan (θ) = \frac{8}{- 8}

Simplify

\frac{8}{- 8} : - 1

\frac{8}{- 8}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{8}{8}

Apply rule

\frac{a}{a} = 1

= - 1

General solutions for

tan (θ) = - 1

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

θ = \frac{3 π}{4} + πn

θ = \frac{3 π}{4} + πn

4 cos^{2} (x) + 4 sin (x) = 5

sin (θ) cot (θ) = \frac{3}{2}

cos^{2} (θ) + \frac{1 0 ^{2}}{9.81 ( 1 )} cos (θ) - 1 = 0

cos^{4} (x) = \frac{1}{16}

w, P = 4 (\frac{Y}{P sin ( w )})

What is the general solution for tan(θ)= 8/(-8) ?
The general solution for tan(θ)= 8/(-8) is θ=(3pi)/4+pin