How do you find the exact value of tan^-1(tan(-(3pi)/4))

Kamden Larson

Kamden Larson

Answered question

2022-10-20

How do you find the exact value of tan 1 ( tan ( 3 π 4 ) )?

Answer & Explanation

scapatofc

scapatofc

Beginner2022-10-21Added 12 answers

First of all, observe that tan ( 3 π 4 ) = tan ( π 4 ), since the two angles are π radians apart.
Then, tan 1 is the inverse function of the tangent, which means exactly that
tan 1 ( tan ( x ) ) = x, if x is an angle between π 2 and π 2 , since this is the specified range for the inverse tangent function.

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