What is the general solution for cos(t)=-1/3 ?

The general solution for cos(t)=-1/3 is t=1.91063…+2pin,t=-1.91063…+2pin

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cos(t)=-1/3

cos (t) = - \frac{1}{3}

t = 1.91063 \dots + 2 πn, t = - 1.91063 \dots + 2 πn

Degrees

t = 109.47122 \dots^{\circ} + 36 0^{\circ} n, t = - 109.47122 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (t) = - \frac{1}{3}

Apply trig inverse properties

cos (t) = - \frac{1}{3}

General solutions for

cos (t) = - \frac{1}{3}

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

t = arccos (- \frac{1}{3}) + 2 πn, t = - arccos (- \frac{1}{3}) + 2 πn

t = arccos (- \frac{1}{3}) + 2 πn, t = - arccos (- \frac{1}{3}) + 2 πn

Show solutions in decimal form

t = 1.91063 \dots + 2 πn, t = - 1.91063 \dots + 2 πn

sin (5 x) = cos (x)

2 sin (x) = 2 sin (2 x)

sin (θ) + cos (θ) = \frac{7}{5}, sin (2 θ)

tan (x) = \frac{5}{9}

tan (t) = - \frac{11}{5}, cos (t) > 0, sin (t)

What is the general solution for cos(t)=-1/3 ?
The general solution for cos(t)=-1/3 is t=1.91063…+2pin,t=-1.91063…+2pin