Is is possible to simplify the expression arctan

Lovellss

Lovellss

Answered question

2022-06-21

Is is possible to simplify the expression arctan ( y ) arctan ( x ) = c

Answer & Explanation

mar1nerne

mar1nerne

Beginner2022-06-22Added 20 answers

Let θ 1 = arctan ( y ) and θ 2 = arctan ( x ), we have
θ 1 θ 2 = c .
So
tan ( c ) = tan ( θ 1 θ 2 ) = tan ( θ 1 ) tan ( θ 2 ) 1 + tan ( θ 1 ) tan ( θ 2 ) = y x 1 + x y .

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