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

Degrees

x = 138.59037 \dots^{\circ} + 36 0^{\circ} n, x = - 138.59037 \dots^{\circ} + 36 0^{\circ} n

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

2 cos^{2} (x) + cos (x) - 1 = 0, 0 \leq x \leq 2 π

arcsin (x) - arccos (- \frac{1}{2}) = \frac{π}{6}

tan^{2} (x) - tan (x) - 2 = 0

tan^{3} (x) = 3 tan (x)

sin (2 x) = - cos (2 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