What is the general solution for tan(φ)=-1/(sqrt(2)) ?

The general solution for tan(φ)=-1/(sqrt(2)) is φ=-0.61547…+pin

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tan(φ)=-1/(sqrt(2))

tan (φ) = - \frac{1}{2}

φ = - 0.61547 \dots + πn

Solution steps

tan (φ) = - \frac{1}{2}

Simplify

- \frac{1}{2} : - \frac{2}{2}

Apply trig inverse properties

φ = arctan (- \frac{2}{2}) + πn

Show solutions in decimal form

φ = - 0.61547 \dots + πn

cos (θ) = \frac{1}{10}

2 = 2 sin (x)

cos^{2} (θ) + 2 cos (θ) + 1 = 0, 0 \leq θ \leq 2 π

cot (θ) - 3 = 0, 0 \leq θ \leq 2 π

2 = sec (θ)

What is the general solution for tan(φ)=-1/(sqrt(2)) ?
The general solution for tan(φ)=-1/(sqrt(2)) is φ=-0.61547…+pin