Mathematics · supplementary

Inverse cosine sum relation for JEE

Inverse trigonometrical functions and their properties

Formula

\(\cos^{-1}x+\cos^{-1}y=\cos^{-1}\left(xy-\sqrt{(1-x^2)(1-y^2)}\right)\)

Variables: \(x,y\in[-1,1]\).

Conditions: Subject to principal value consistency.

Advanced inverse-cosine simplification.

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