9514 1404 393
Answer:
A = 49π/36 or 59π/36
Explanation:
The given angle is coterminal with the same angle modulo 2π.
(563/36)π = 14π +(59/36)π
so the coterminal angle is 59π/36 ≈ 1.6389π, a 4th-quadrant angle. The 3rd-quadrant angle with the same sine value is found by subtracting this angle from 3π:
A = 3π -(59π/36) = 49π/36
The two values of A that satisfy the equation are ...
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In degrees, the two angles are 245° and 295°.