Question

вычислите без таблиц и калькулятора sin16 + cos16 x tg37

Answer 1

$sin16+cos16cdot tg37=sin16+cos16cdot frac{sin37}{cos37} =\\= frac{sin16cdot cos37+cos16cdot sin37}{cos37} = frac{sin(16+37)}{cos37} = frac{sin53}{cos37} =\\= frac{sin53}{cos(90-53)} = frac{sin53}{sin53}=1$