What is the general solution for tan(x)=-15/8 ?

The general solution for tan(x)=-15/8 is x=-1.08083…+pin

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tan(x)=-15/8

tan (x) = - \frac{15}{8}

x = - 1.08083 \dots + πn

Solution steps

tan (x) = - \frac{15}{8}

Apply trig inverse properties

x = arctan (- \frac{15}{8}) + πn

Show solutions in decimal form

x = - 1.08083 \dots + πn

8 cos^{3} (x) = 8 cos (x)

4 cos (2 θ) = cos^{2} (θ) - 2

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

cos (x) = \frac{5}{5}

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

What is the general solution for tan(x)=-15/8 ?
The general solution for tan(x)=-15/8 is x=-1.08083…+pin