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

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

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cos(x)=(-3)/4

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

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

Solution steps

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

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

Apply trig inverse properties

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

Show solutions in decimal form

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

3 cot^{2} (x) - 9 = 0

\frac{2}{5} = cos (θ)

2 - 2 cos^{2} (x) = sin (x)

cos (x) = \frac{6}{7}

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

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