What is the general solution for cos(x)=-3/8 ?

The general solution for cos(x)=-3/8 is x=1.95519…+2pin,x=-1.95519…+2pin

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cos(x)=-3/8

cos (x) = - \frac{3}{8}

x = 1.95519 \dots + 2 πn, x = - 1.95519 \dots + 2 πn

Solution steps

cos (x) = - \frac{3}{8}

Apply trig inverse properties

x = arccos (- \frac{3}{8}) + 2 πn, x = - arccos (- \frac{3}{8}) + 2 πn

Show solutions in decimal form

x = 1.95519 \dots + 2 πn, x = - 1.95519 \dots + 2 πn

tan (2 x) = 0, 0 \leq x \leq 2 π

arctan (x) = - π

2 sin (2 θ) - 1 = 0

3 sin (θ) = 2 - sin (θ)

tan^{2} (3 t + \frac{π}{2}) = \frac{1}{3}

What is the general solution for cos(x)=-3/8 ?
The general solution for cos(x)=-3/8 is x=1.95519…+2pin,x=-1.95519…+2pin