Determine the principal value of cos^(−1)(−1/2).

emnehefteye4

emnehefteye4

Answered question

2022-12-24

Determine the principal value of cos-1-12.

Answer & Explanation

Ace Lowery

Ace Lowery

Beginner2022-12-25Added 6 answers

How to calculate the principal value of cos-1-12
Let, y=cos-1-12
cosy=-12
cosy=-cosπ3
cosy=cosπ-π3
cosy=cos2π3
Now we know that,
Range of the principal value of cos-1x=[0,π]
Therefore, the principal value of cos-1-12=2π3.

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