What is the general solution for cos(x)=-3/(sqrt(10)) ?

The general solution for cos(x)=-3/(sqrt(10)) is x=2.81984…+2pin,x=-2.81984…+2pin

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cos(x)=-3/(sqrt(10))

cos (x) = - \frac{3}{10}

x = 2.81984 \dots + 2 πn, x = - 2.81984 \dots + 2 πn

Solution steps

cos (x) = - \frac{3}{10}

Simplify

- \frac{3}{10} : - \frac{3 10}{10}

Apply trig inverse properties

x = arccos (- \frac{3 10}{10}) + 2 πn, x = - arccos (- \frac{3 10}{10}) + 2 πn

Show solutions in decimal form

x = 2.81984 \dots + 2 πn, x = - 2.81984 \dots + 2 πn

tan (x - \frac{π}{2}) = \frac{1}{3}

2 sin^{2} (x) + cos (x) + 1 = 0

3 tan (2 x) - 3 = 0

t, x = 2 sin (t)

11 - sin (θ) = cos (2 θ)

What is the general solution for cos(x)=-3/(sqrt(10)) ?
The general solution for cos(x)=-3/(sqrt(10)) is x=2.81984…+2pin,x=-2.81984…+2pin