What is the general solution for cos(x)=-0.564 ?

The general solution for cos(x)=-0.564 is x=2.17001…+2pin,x=-2.17001…+2pin

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cos(x)=-0.564

cos (x) = - 0.564

x = 2.17001 \dots + 2 πn, x = - 2.17001 \dots + 2 πn

Solution steps

cos (x) = - 0.564

Apply trig inverse properties

x = arccos (- 0.564) + 2 πn, x = - arccos (- 0.564) + 2 πn

Show solutions in decimal form

x = 2.17001 \dots + 2 πn, x = - 2.17001 \dots + 2 πn

6 sin (\frac{θ}{2}) = 6 cos (\frac{θ}{2})

2 cos (\frac{x}{2}) + 2 = 0

sin (2 x) + 2 cos (x) = 0, 0 \leq x \leq 2 π

cos (x) = \frac{8.5}{9.9}

cos^{3} (x) = - cos^{2} (x)

What is the general solution for cos(x)=-0.564 ?
The general solution for cos(x)=-0.564 is x=2.17001…+2pin,x=-2.17001…+2pin