What is the general solution for tan(α)=-0.9857 ?

The general solution for tan(α)=-0.9857 is α=-0.77819…+pin

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tan(α)=-0.9857

tan (α) = - 0.9857

α = - 0.77819 \dots + πn

Degrees

α = - 44.58739 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (α) = - 0.9857

Apply trig inverse properties

tan (α) = - 0.9857

General solutions for

tan (α) = - 0.9857

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

α = arctan (- 0.9857) + πn

α = arctan (- 0.9857) + πn

Show solutions in decimal form

α = - 0.77819 \dots + πn

8 sin^{2} (x) = 8 - 4 cos (x)

sec^{2} (θ) = 9

cos (x) = \frac{6.5}{8.4}

tan (θ) = \frac{1}{10}

sin^{2} (x) - 2 cos (x) = 0

What is the general solution for tan(α)=-0.9857 ?
The general solution for tan(α)=-0.9857 is α=-0.77819…+pin