simplify sec(tan^(-1)(x)) .

deblima0gm

deblima0gm

Answered question

2023-02-13

simplify sec ( tan - 1 ( x ) )

Answer & Explanation

impresivj8k

impresivj8k

Beginner2023-02-14Added 5 answers

sec ( tan - 1 ( x ) )
y = tan - 1 ( x )
x = sin ( y ) cos ( y )
x 2 = sin ( y ) 2 cos ( y ) 2
x 2 + 1 = cos ( y ) 2 + sin ( y ) 2 = 1 cos ( y ) 2
x 2 + 1 = sec ( y ) = sec ( tan - 1 ( x ) )

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