Find the principal value of tan − 1 ⁡ ( − 1 )

singinscottnud

singinscottnud

Answered

2022-12-30

Find the principal value of tan 1 ( 1 )

Answer & Explanation

Jonah Curtis

Jonah Curtis

Expert

2022-12-31Added 7 answers

Let y = tan 1 ( 1 ) tan y = 1
We are aware that the major value branch of tan 1 x has a range of ( π 2 , π 2 ).
tan y = tan ( π 4 )
y = π 4
Thus, the principal value of tan 1 ( 1 ) is π 4 .

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