What is the general solution for cos(x)=-7/8 ?

The general solution for cos(x)=-7/8 is x=2.63623…+2pin,x=-2.63623…+2pin

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cos(x)=-7/8

cos (x) = - \frac{7}{8}

x = 2.63623 \dots + 2 πn, x = - 2.63623 \dots + 2 πn

Degrees

x = 151.04497 \dots^{\circ} + 36 0^{\circ} n, x = - 151.04497 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - \frac{7}{8}

Apply trig inverse properties

cos (x) = - \frac{7}{8}

General solutions for

cos (x) = - \frac{7}{8}

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

x = arccos (- \frac{7}{8}) + 2 πn, x = - arccos (- \frac{7}{8}) + 2 πn

x = arccos (- \frac{7}{8}) + 2 πn, x = - arccos (- \frac{7}{8}) + 2 πn

Show solutions in decimal form

x = 2.63623 \dots + 2 πn, x = - 2.63623 \dots + 2 πn

tan (x) = - \frac{3}{5}

sin (x) = - cos (2 x)

csc (\frac{π}{24} x) = 1

cos (x) = \frac{6}{18}

4 cos (2 x) + 10 sin (x) - 7 = 0

What is the general solution for cos(x)=-7/8 ?
The general solution for cos(x)=-7/8 is x=2.63623…+2pin,x=-2.63623…+2pin