math

find all solution to the equation 3 cos(x+4)=1. in the interval of 0<x<2pi
This is what I got: arccos (1/3)+4 but I cant figure the rest out

Solve the following equation in the interval [0, 2pi]. (sin(t))^2=1/2. Give the answer as a multiple of pi.

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  1. Your Algebra I is missing

    3cos(x+4) = 1
    cos(x+4) = 1/3
    x+4 = arccos(1/3)
    x = arccos(1/3) - 4 = 1.231
    also, 2π-1.231 = 5.052

    sin^2(t) = 1/2
    sint = ±1/√2
    since sin π/4 = 1/√2
    t = all odd multiples of π/4

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    posted by Steve

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