Find the angle between the rays OB and the semiaxis Ox, if B (3; 3)

OA = 3 cm, OS = 3 cm.

Triangle ОАВ is rectangular, then tgАВ = ОВ / ОА = 3/3 = 1.

angle α = arctg1 = 45.

Answer: The angle between the OB and the OX semi-axis is 45.

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