Q. 7 C4.0( 4 Votes )

# 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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