arccos(x)=arcsin(1/3)+arccos(1/4)

解

arccos (x) = arcsin (\frac{1}{3}) + arccos (\frac{1}{4})

x = cos (0.33983 \dots + 1.31811 \dots)

解答ステップ

arccos (x) = arcsin (\frac{1}{3}) + arccos (\frac{1}{4})

三角関数の逆数プロパティを適用する

arccos (x) = arcsin (\frac{1}{3}) + arccos (\frac{1}{4})

arccos (x) = a \Rightarrow x = cos (a)

x = cos (arcsin (\frac{1}{3}) + arccos (\frac{1}{4}))

x = cos (arcsin (\frac{1}{3}) + arccos (\frac{1}{4}))

10進法形式で解を証明する

x = cos (0.33983 \dots + 1.31811 \dots)