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Answer: An inverse sine is one of the trigonometric functions used to measure an angle in a right triangle.
The sine inverse function is used to calculate the angle of a right-angled triangle. Arcsine, asin, or sin−1are the inverses of sine.
By using the Pythagorean theorem, we find the formula for Sin−1 x + Sin−1 y that can be expressed as:
Sin−1x + sin−1y = Sin−1 [x√(1 – y²) + y√(1 – x²)]
{ if x, y ≥ 0 and x²+y² ≤ 1}
Sin−1x + sin−1y = π – Sin−1 [x√(1 – y²) + y√(1 – x²)]
{ if x, y ≥ 0 and x²+y²>1}.
