What is the general solution for -2/3 =cos(x) ?

The general solution for -2/3 =cos(x) is x=2.30052…+2pin,x=-2.30052…+2pin

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-2/3 =cos(x)

- \frac{2}{3} = cos (x)

x = 2.30052 \dots + 2 πn, x = - 2.30052 \dots + 2 πn

Degrees

x = 131.81031 \dots^{\circ} + 36 0^{\circ} n, x = - 131.81031 \dots^{\circ} + 36 0^{\circ} n

Solution steps

- \frac{2}{3} = cos (x)

Switch sides

cos (x) = - \frac{2}{3}

Apply trig inverse properties

cos (x) = - \frac{2}{3}

General solutions for

cos (x) = - \frac{2}{3}

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

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

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

Show solutions in decimal form

x = 2.30052 \dots + 2 πn, x = - 2.30052 \dots + 2 πn

ϕ, (x cos (ϕ))^{2} = x^{2} sin^{2} (ϕ) (1)

cos (18 0^{\circ} - x) = sin (- 30 0^{\circ})

sin^{2} (x) = \frac{( 6 m - 5 )}{8}

cos (θ) = 0.417

tan (x) = 2.7475

What is the general solution for -2/3 =cos(x) ?
The general solution for -2/3 =cos(x) is x=2.30052…+2pin,x=-2.30052…+2pin