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Evaluate each of the following:
cot–1(cot x) = x
Provided x ϵ (0,π)
∴ cot–1(cot) = .
sin–1(sin3)
sin–1(sin4)
sin–1 (sin12)
sin–1 (sin 2)
cos–1(cos 3)
cos–1(cos 4)
cos–1(cos 5)
cos–1(cos 12)
tan–1 (tan 1)
tan–1 (tan 2)
tan–1 (tan 4)
tan–1 (tan 12)
Write each of the following in the simplest form: