What is the general solution for tan(a)=-1/2 ?

The general solution for tan(a)=-1/2 is a=-0.46364…+pin

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tan(a)=-1/2

tan (a) = - \frac{1}{2}

a = - 0.46364 \dots + πn

Degrees

a = - 26.56505 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (a) = - \frac{1}{2}

Apply trig inverse properties

tan (a) = - \frac{1}{2}

General solutions for

tan (a) = - \frac{1}{2}

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

a = arctan (- \frac{1}{2}) + πn

a = arctan (- \frac{1}{2}) + πn

Show solutions in decimal form

a = - 0.46364 \dots + πn

sin (2 x + 3 0^{\circ}) = - \frac{3}{2}

8 tan^{2} (θ) - 1 = 7 tan (θ)

2 sin^{(2)} (x) - 3 sin (x) + 1 = 0

sin (x + \frac{π}{4}) = 1

x, z = sin (2 x) + y^{2}

What is the general solution for tan(a)=-1/2 ?
The general solution for tan(a)=-1/2 is a=-0.46364…+pin