Cos (cosinus) kąta ostrego jest 3 razy wiekszy od sin (sinusa) tego kąta. Oblicz sin, cos, tg, ctg.
cos x = 3sin x
sin²x+cos²x=1
sin²x + (3sin x) = 1
sin ² x + 9 sin² x = 1
10 sin² x=1
sin²x = 1/10
sin x = 1/√10 = √10 / 10
cos x = 3√10 / 10
tg x = sin x / cos x =
ctg x = 3
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cos x = 3sin x
sin²x+cos²x=1
sin²x + (3sin x) = 1
sin ² x + 9 sin² x = 1
10 sin² x=1
sin²x = 1/10
sin x = 1/√10 = √10 / 10
cos x = 3√10 / 10
tg x = sin x / cos x =
ctg x = 3