What is the general solution for cos(x)=-0.814 ?

The general solution for cos(x)=-0.814 is x=2.52180…+2pin,x=-2.52180…+2pin

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cos(x)=-0.814

cos (x) = - 0.814

x = 2.52180 \dots + 2 πn, x = - 2.52180 \dots + 2 πn

Degrees

x = 144.48860 \dots^{\circ} + 36 0^{\circ} n, x = - 144.48860 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - 0.814

Apply trig inverse properties

cos (x) = - 0.814

General solutions for

cos (x) = - 0.814

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

x = arccos (- 0.814) + 2 πn, x = - arccos (- 0.814) + 2 πn

x = arccos (- 0.814) + 2 πn, x = - arccos (- 0.814) + 2 πn

Show solutions in decimal form

x = 2.52180 \dots + 2 πn, x = - 2.52180 \dots + 2 πn

3 cos^{2} (x) - 8 cos (x) + 4 = sin^{2} (x)

cos (x - 4 5^{\circ}) = \frac{- 1}{2}

x, sin (x + \frac{r}{4}) + sin (x - \frac{r}{3}) = 0

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

x, sec (x) - sin (50 o) = 2

What is the general solution for cos(x)=-0.814 ?
The general solution for cos(x)=-0.814 is x=2.52180…+2pin,x=-2.52180…+2pin