What is the general solution for cos(x)=-5/(sqrt(34)) ?

The general solution for cos(x)=-5/(sqrt(34)) is x=2.60117…+2pin,x=-2.60117…+2pin

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cos(x)=-5/(sqrt(34))

cos (x) = - \frac{5}{34}

x = 2.60117 \dots + 2 πn, x = - 2.60117 \dots + 2 πn

Solution steps

cos (x) = - \frac{5}{34}

Simplify

- \frac{5}{34} : - \frac{5 34}{34}

Apply trig inverse properties

x = arccos (- \frac{5 34}{34}) + 2 πn, x = - arccos (- \frac{5 34}{34}) + 2 πn

Show solutions in decimal form

x = 2.60117 \dots + 2 πn, x = - 2.60117 \dots + 2 πn

sin (3 x) = \frac{1}{2}, 0 \leq x \leq 1

sec (θ) = - \frac{1}{2}

cos (x) = cos (x - c)

4 cos (120 t) = 0

\frac{3 3}{π} = sec (c)

What is the general solution for cos(x)=-5/(sqrt(34)) ?
The general solution for cos(x)=-5/(sqrt(34)) is x=2.60117…+2pin,x=-2.60117…+2pin