What is the general solution for cos(x)=-31/52019 ?

The general solution for cos(x)=-31/52019 is x=1.57139…+2pin,x=-1.57139…+2pin

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cos(x)=-31/52019

cos (x) = - \frac{31}{52019}

x = 1.57139 \dots + 2 πn, x = - 1.57139 \dots + 2 πn

Degrees

x = 90.03414 \dots^{\circ} + 36 0^{\circ} n, x = - 90.03414 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - \frac{31}{52019}

Apply trig inverse properties

cos (x) = - \frac{31}{52019}

General solutions for

cos (x) = - \frac{31}{52019}

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

x = arccos (- \frac{31}{52019}) + 2 πn, x = - arccos (- \frac{31}{52019}) + 2 πn

x = arccos (- \frac{31}{52019}) + 2 πn, x = - arccos (- \frac{31}{52019}) + 2 πn

Show solutions in decimal form

x = 1.57139 \dots + 2 πn, x = - 1.57139 \dots + 2 πn

csc (\frac{x}{4}) = 2

4 cos (θ) = sec (θ)

sin (x) + 3 cos (x) = - 2

cot (θ) + 4 csc (θ) = 6

sin (x) 2 = - sin (x)

What is the general solution for cos(x)=-31/52019 ?
The general solution for cos(x)=-31/52019 is x=1.57139…+2pin,x=-1.57139…+2pin