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Andrews [41]
3 years ago
9

Solve the equation:

Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0

Answer:

x = √2/2

Step-by-step explanation:

Use the identity:

arcsin x + arccos x = π/2

Therefore, we can rewrite this as:

arcsin x (π/2 − arcsin x) = π²/16

If we substitute y = arcsin x:

y (π/2 − y) = π²/16

π/2 y − y² = π²/16

0 = y² − π/2 y + π²/16

0 = 16y² − 8π y + π²

0 = (4y − π)²

y = π/4

Substituting back:

arcsin x = π/4

x = sin(π/4)

x = √2/2

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