Question

Tg 21pi/4 +0.5 sin 11pi/6 - cos (-2pi/3)

Answer 1

tg 21pi/4 +0.5 Sin 11pi/6 - Cos (-2pi/3) =
= tg(20π + π/4) +0,5Sin(2π-π/6)  - Cos2π/3= = tgπ/4 - 0,5*Sinπ/6 +1/2 =
=1 -1 +1/2 = 1/2

Answer 2

tg(21pi/4) = tg(5pi/4 + 4pi) = tg(5pi/4) = -1

0.5 + sin(11pi/6) = 0.5 + (-0.5) = 0

cos(-2pi/3) = cos(2pi/3) = 0.5

Итак, выражение tg(21pi/4) + 0.5 + sin(11pi/6) - cos(-2pi/3) равно:

-1 + 0 - 0.5 = -1.5