What is the general solution for tan(θ)=(10)/(-5.32) ?

The general solution for tan(θ)=(10)/(-5.32) is θ=-1.08187…+pin

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tan(θ)=(10)/(-5.32)

tan (θ) = \frac{10}{- 5.32}

θ = - 1.08187 \dots + πn

Degrees

θ = - 61.98702 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{10}{- 5.32}

Apply the fraction rule:

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

tan (θ) = - \frac{10}{5.32}

Apply trig inverse properties

tan (θ) = - \frac{10}{5.32}

General solutions for

tan (θ) = - \frac{10}{5.32}

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

θ = arctan (- \frac{10}{5.32}) + πn

θ = arctan (- \frac{10}{5.32}) + πn

Show solutions in decimal form

θ = - 1.08187 \dots + πn

2 sin (2 x) + cos (2 x) = 4 cos (2 x)

sec (t) = \frac{1}{\frac{2}{2}}

- \frac{cos ( x ) - sin ( x )}{1 + sin ( 2 x )} = 0

2 cos (x) = cot (x)

tan (x) = \frac{60}{\frac{( - 20 - 90 )}{2}}

What is the general solution for tan(θ)=(10)/(-5.32) ?
The general solution for tan(θ)=(10)/(-5.32) is θ=-1.08187…+pin