Find the interval for which 2 arctan ⁡ x + arcsin ⁡ 2 x 1...

Winigefx

Winigefx

Answered

2022-06-24

Find the interval for which 2 arctan x + arcsin 2 x 1 + x 2 is an independent of x?

Answer & Explanation

alisonhleel3

alisonhleel3

Expert

2022-06-25Added 23 answers

HINT:
Let arctan x = y π 2 y π 2 π 2 y π
arcsin 2 x 1 + x 2 = arcsin ( sin 2 y ) = { 2 y if  π 2 2 y π 2 π 2 y if  2 y > π 2 π 2 y if  2 y < π 2

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