What is the general solution for tan(x)=(-2sqrt(2))/2 ?

The general solution for tan(x)=(-2sqrt(2))/2 is x=-0.95531…+pin

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tan(x)=(-2sqrt(2))/2

tan (x) = \frac{- 2 2}{2}

x = - 0.95531 \dots + πn

Solution steps

tan (x) = \frac{- 2 2}{2}

Simplify

\frac{- 2 2}{2} : - 2

\frac{- 2 2}{2}

Apply the fraction rule:

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

= - \frac{2 2}{2}

Divide the numbers:

\frac{2}{2} = 1

= - 2

Apply trig inverse properties

tan (x) = - 2

General solutions for

tan (x) = - 2

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

x = arctan (- 2) + πn

x = arctan (- 2) + πn

Show solutions in decimal form

x = - 0.95531 \dots + πn

arctan (0.1 x) + arctan (0.01 x) = 3 9^{\circ}

1 = tan (t)

sin (c) = \frac{5 sin ( 14 0 ^{\circ} )}{7}

7 = 5 sin (θ) + 2

2 cos^{2} (θ) - 7 cos (θ) + 3 = 0, θ

What is the general solution for tan(x)=(-2sqrt(2))/2 ?
The general solution for tan(x)=(-2sqrt(2))/2 is x=-0.95531…+pin