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

The general solution for tan(x)=-(sqrt(2))/2 is x=-0.61547…+pin

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

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

x = - 0.61547 \dots + πn

Degrees

x = - 35.26438 \dots^{\circ} + 18 0^{\circ} n

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

x = arctan (- \frac{2}{2}) + πn

x = arctan (- \frac{2}{2}) + πn

Show solutions in decimal form

x = - 0.61547 \dots + πn

cot (x) = 1.2

cos (\frac{3}{2} π - x) + sin (4 x) = 0

tan (x) = \frac{30}{100}

cos (θ) = - \frac{53}{8}

\frac{sin ( 15 0 ^{\circ} )}{500} = \frac{sin ( x )}{45}

What is the general solution for tan(x)=-(sqrt(2))/2 ?
The general solution for tan(x)=-(sqrt(2))/2 is x=-0.61547…+pin