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Find the general solution of tan2θ = 1. - Mathematics and Statistics

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प्रश्न

Find the general solution of tan2θ = 1.

योग

उत्तर

We have tan2θ = 1

∴ `tan^2θ = tan^2  pi/4`

The general solution of tan2θ = α is θ = nπ ± α, where n ∈ Z.

∴ The general solution of tan2θ = `tan^2  pi/4` is θ = `npi ± pi/4`, where n ∈ Z.

∴ The general solution of tan2θ = 1 is θ = `npi ± pi/4`, where n ∈ Z.

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