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

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

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cos(t)=-2/3

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

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

Degrees

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

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

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

sin (θ) = 1 + (1 - (cos (θ) - 1)^{2})

0 = 4 cos (4 x)

tan (θ) = \frac{8}{7}, π < θ < \frac{3 π}{2}

csc (θ) sin (θ) = cot (θ)

7 sin (θ) + cos (θ) = 5

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