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 .


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