What is the general solution for cos(t)=-3/4 ?

The general solution for cos(t)=-3/4 is t=2.41885…+2pin,t=-2.41885…+2pin

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cos(t)=-3/4

cos (t) = - \frac{3}{4}

t = 2.41885 \dots + 2 πn, t = - 2.41885 \dots + 2 πn

Solution steps

cos (t) = - \frac{3}{4}

Apply trig inverse properties

t = arccos (- \frac{3}{4}) + 2 πn, t = - arccos (- \frac{3}{4}) + 2 πn

Show solutions in decimal form

t = 2.41885 \dots + 2 πn, t = - 2.41885 \dots + 2 πn

sin (2 x) - 2 cos (x) = 2 sin (x) - 1

cos^{2} (θ) - \frac{3}{2} cos (2 θ) = 0

sinh (x) = \frac{3}{4}, cosh (x)

tan (θ) = 1.4739716

cos (2 x) = cos (\frac{1}{2})

What is the general solution for cos(t)=-3/4 ?
The general solution for cos(t)=-3/4 is t=2.41885…+2pin,t=-2.41885…+2pin