Question

Порівняйте
a) tg135 і sin150
b) cos120 і sin30

Answer 1

$\tg135 {}^{ \circ} = - 1. \\ \sin150 {}^{ \circ} = \dfrac{1}{2} . \\ \to \dfrac{1}{2} > - 1 \to \: \tg135 {}^{ \circ} < \sin150 {}^{ \circ} .$

$\cos120 {}^{ \circ} = - \dfrac{1}{2} . \\ \sin30 {}^{ \circ} = \dfrac{1}{2} . \\ \dfrac{1}{2} > - \dfrac{1}{2} \to \: \cos120 {}^{ \circ} < \sin30 {}^{ \circ} .$