What is the general solution for tan(α)=0.875 ?

The general solution for tan(α)=0.875 is α=0.71882…+pin

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tan(α)=0.875

tan (α) = 0.875

α = 0.71882 \dots + πn

Degrees

α = 41.18592 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (α) = 0.875

Apply trig inverse properties

tan (α) = 0.875

General solutions for

tan (α) = 0.875

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

α = arctan (0.875) + πn

α = arctan (0.875) + πn

Show solutions in decimal form

α = 0.71882 \dots + πn

sin (x) = \frac{18}{31}

4 cos^{3} (x) - 3 cos (x) = - 0.7071

2 tan (x) = tan (2 x)

sin^{2} (θ) = 3 (cos (- θ) + 1)

arctan (x \cdot 10000 π) = 12 6^{\circ}

What is the general solution for tan(α)=0.875 ?
The general solution for tan(α)=0.875 is α=0.71882…+pin