find the exact solution over the indicated interval (x a real number)
find exact solution for x real and θ in degrees
cos x-1=0, all real X
There is no indicated interval given. And your problem isn't clear enough.
I'll suppose you meant: cos(x - 1) = 0
We have that:
cos(x - 1) = 0 <=> x - 1 = π/2 + 2kπ, where k ∈ ℤ (The set of all integers. i.e: k ∈ {...,-2,-1,0,1,2,..}.
That is: x = 1 + π/2 + 2kπ, k ∈ ℤ .
If you meant: cos(x) - 1 = 0
cos(x) - 1 = 0 <=> cos(x) = 1 <=> x = 2kπ, k ∈ ℤ .
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There is no indicated interval given. And your problem isn't clear enough.
I'll suppose you meant: cos(x - 1) = 0
We have that:
cos(x - 1) = 0 <=> x - 1 = π/2 + 2kπ, where k ∈ ℤ (The set of all integers. i.e: k ∈ {...,-2,-1,0,1,2,..}.
That is: x = 1 + π/2 + 2kπ, k ∈ ℤ .
If you meant: cos(x) - 1 = 0
We have that:
cos(x) - 1 = 0 <=> cos(x) = 1 <=> x = 2kπ, k ∈ ℤ .