What is the general solution for cos(x)=-3/7 ?

The general solution for cos(x)=-3/7 is x=2.01370…+2pin,x=-2.01370…+2pin

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cos(x)=-3/7

cos (x) = - \frac{3}{7}

x = 2.01370 \dots + 2 πn, x = - 2.01370 \dots + 2 πn

Solution steps

cos (x) = - \frac{3}{7}

Apply trig inverse properties

x = arccos (- \frac{3}{7}) + 2 πn, x = - arccos (- \frac{3}{7}) + 2 πn

Show solutions in decimal form

x = 2.01370 \dots + 2 πn, x = - 2.01370 \dots + 2 πn

cos (x) - sin (7 x) = 0

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

3 tan (\frac{1}{2} x) + 1 = 0

12 sin (θ) = 4 + 4 sin (θ)

cos (2 x) + cos (8 x) = 0

What is the general solution for cos(x)=-3/7 ?
The general solution for cos(x)=-3/7 is x=2.01370…+2pin,x=-2.01370…+2pin