How to find the general solution of an equation of the form cos θ = 1?
Prove that the general solution of cos θ = 1 is given by θ = 2nπ, n ∈ Z.
Solution:
We have,
cos θ = 1
⇒ cos θ = cos 0°
⇒ θ = 2nπ ± 0°, n ∈ Z, [Since, the general solution of cos θ = cos ∝ is given by θ = 2nπ ± ∝, n ∈ Z.]
⇒ θ = 2nπ, n ∈ Z
Hence, the general solution of cos θ = 1 is θ = 2nπ, n ∈ Z.
11 and 12 Grade Math
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