What is the sum of arcsin(x) and arccos(x) for any value of x in the domain [-1, 1]?
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π/2
This is a cofunction identity for inverse trigonometric functions. It reflects the fact that in a right triangle, the two non-right angles (whose sine and cosine overlap) must add up to 90 degrees (π/2 radians).
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- For any x in the interval [-1, 1], what is the result of adding arcsin(x) and arccos(x)?