Question

W trojkacie prostokatnym jeden z bokow wynosi 8 a drugi 5, miedzy nimi jest kat alfa. Wyznacz sin alfy, cos alfy i tg alfy POMOCY ;)

Answer 1

cos alfa = 5/8

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sin^2 alfa + cos ^2 alfa = 1

sin^2 alfa = 1 - cos^2 alfa = 1 - (5/8)^2 = 1 - 25/64 = 64/64 - 25/64 = 39/64

zatem

sin alfa = p(39)/8

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tg alfa = sin alfa / cos alfa = p(39)/ 8   :  5/8 = p(39)/ 8   *  8/5 = p(39)/5

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