Why isn't arctan &#x2061;<!-- ⁡ --> &#x03B8;<!-- θ --> = arcsin

Brunton39 2022-07-01 Answered
Why isn't arctan θ = arcsin θ arccos θ ?
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Answers (1)

drumette824ed
Answered 2022-07-02 Author has 19 answers
For one thing, the principal value of arctan is from 0 to π on Monday, Wednesday, and Friday, and from π / 2 to π / 2 on Tuesday, Thursday, and Saturday.
However arcsin x arccos x is unbounded as x π / 2, so this can not be a value of arctan.
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