What is the general solution for cos(x)=-7/(sqrt(14)\sqrt{5)} ?

The general solution for cos(x)=-7/(sqrt(14)\sqrt{5)} is x=2.56195…+2pin,x=-2.56195…+2pin

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cos(x)=-7/(sqrt(14)\sqrt{5)}

cos (x) = - \frac{7}{14 5}

x = 2.56195 \dots + 2 πn, x = - 2.56195 \dots + 2 πn

Solution steps

cos (x) = - \frac{7}{14 5}

Simplify

- \frac{7}{14 5} : - \frac{7}{10}

Apply trig inverse properties

x = arccos (- \frac{7}{10}) + 2 πn, x = - arccos (- \frac{7}{10}) + 2 πn

Show solutions in decimal form

x = 2.56195 \dots + 2 πn, x = - 2.56195 \dots + 2 πn

k, cos (k l) = 0

tan (2 x) = - \frac{- 270 - 120}{130}

3 tan (x + 4 3^{\circ}) = 2 cos (x + 4 3^{\circ})

\frac{sec ^{2} ( - 1 )}{tan ( x )} = tan (x)

4 sin (x) = 3 sec (x)

What is the general solution for cos(x)=-7/(sqrt(14)\sqrt{5)} ?
The general solution for cos(x)=-7/(sqrt(14)\sqrt{5)} is x=2.56195…+2pin,x=-2.56195…+2pin