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Write each of the following in the simplest form:
Put x = tanθ
⇒ θ = tan–1(x)
tan–1{–tanθ }
= tan–1{–tanθ }
= tan–1{secθ –tanθ }
= tan–1
= tan–1
Sinθ = ,cosθ =
= tan–1
= tan–1
= tan–1
Dividing by we get
= tan–1
= tan–1
= tan–1
tan(x–y) =
= tan–1
=
From 1 we get
= .
Therefore, the simplification of given equation is .