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

The general solution for cos(x)=-cos(pi/7) is x=2.69279…+2pin,x=-2.69279…+2pin

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cos(x)=-cos(pi/7)

cos (x) = - cos (\frac{π}{7})

x = 2.69279 \dots + 2 πn, x = - 2.69279 \dots + 2 πn

Degrees

x = 154.28571 \dots^{\circ} + 36 0^{\circ} n, x = - 154.28571 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - cos (\frac{π}{7})

Apply trig inverse properties

cos (x) = - cos (\frac{π}{7})

General solutions for

cos (x) = - cos (\frac{π}{7})

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

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

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

Show solutions in decimal form

x = 2.69279 \dots + 2 πn, x = - 2.69279 \dots + 2 πn

5 cos (x) - sin (x) = 1

tan (2 θ) = - 1.75

cos (x) = \frac{3}{2}, tan (x)

tan (t) = \frac{7}{24}

cos (x) = 0.59

What is the general solution for cos(x)=-cos(pi/7) ?
The general solution for cos(x)=-cos(pi/7) is x=2.69279…+2pin,x=-2.69279…+2pin