What is the general solution for cos(x+1)=-2/5 ?

The general solution for cos(x+1)=-2/5 is x=1.98231…+2pin-1,x=-1.98231…+2pin-1

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cos(x+1)=-2/5

cos (x + 1) = - \frac{2}{5}

x = 1.98231 \dots + 2 πn - 1, x = - 1.98231 \dots + 2 πn - 1

Solution steps

cos (x + 1) = - \frac{2}{5}

Apply trig inverse properties

x + 1 = arccos (- \frac{2}{5}) + 2 πn, x + 1 = - arccos (- \frac{2}{5}) + 2 πn

Solve

x + 1 = arccos (- \frac{2}{5}) + 2 πn : x = arccos (- \frac{2}{5}) + 2 πn - 1

Solve

x + 1 = - arccos (- \frac{2}{5}) + 2 πn : x = - arccos (- \frac{2}{5}) + 2 πn - 1

x = arccos (- \frac{2}{5}) + 2 πn - 1, x = - arccos (- \frac{2}{5}) + 2 πn - 1

Show solutions in decimal form

x = 1.98231 \dots + 2 πn - 1, x = - 1.98231 \dots + 2 πn - 1

4 cos (2 x) + 1 = 3

sinh^{2} (x) = 0

cos (x) csc^{2} (x) + 3 cos (x) = 7 cos (x)

sin (x) - cos (x) = 1, 0 \leq x < 2 π

tan (θ) = \frac{π}{6}

What is the general solution for cos(x+1)=-2/5 ?
The general solution for cos(x+1)=-2/5 is x=1.98231…+2pin-1,x=-1.98231…+2pin-1