a)Xét tam giác MNP vuông tại M.Theo định lí pytago:
\(MP^2=NP^2-MN^2=10^2-8^2=36\)
=> MP=6(cm)
b) Ta có:
\(sinN=\dfrac{MP}{NP}=\dfrac{6}{10}=\dfrac{3}{5}\)
\(cosN=\dfrac{MN}{NP}=\dfrac{8}{10}=\dfrac{4}{5}\)
\(tgN=\dfrac{MP}{MN}=\dfrac{6}{8}=\dfrac{3}{4}\)
\(cotgN=\dfrac{MN}{MP}=\dfrac{8}{6}=\dfrac{4}{3}\)
\(=>sinP=cosN=\dfrac{4}{5};cosP=sinN=\dfrac{3}{5};tgP=cotgN=\dfrac{4}{3};cotgP=tgN=\dfrac{3}{4}\)