What is the general solution for tan(α)=-3/4 ?

The general solution for tan(α)=-3/4 is α=-0.64350…+pin

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tan(α)=-3/4

tan (α) = - \frac{3}{4}

α = - 0.64350 \dots + πn

Solution steps

tan (α) = - \frac{3}{4}

Apply trig inverse properties

α = arctan (- \frac{3}{4}) + πn

Show solutions in decimal form

α = - 0.64350 \dots + πn

sec (2 x) csc (2 x) = 2 csc (2 x), 0 \leq x \leq 2 π

tan^{2} (x) - 3 tan (x) - 10 = 0

6 sin^{2} (x) + 3 sin (x) = 0

0 = 2 cos (x) + sin (2 x)

6 tan^{2} (x) - 18 = 0

What is the general solution for tan(α)=-3/4 ?
The general solution for tan(α)=-3/4 is α=-0.64350…+pin