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Нужно знать, что 180° = π рад.

Поэтому:

ctgπ/2 = ctg90° = 0,

tgπ = tg180° = 0,

sin(3π/2) = sin270° = -1,

cosπ/2 = cos90° = 0,

sinπ = sin180° = 0

и ctgπ/2 + tgπ - sin(3π/2) - cosπ/2 + sinπ = 0 + 0 - (-1) - 0 + 0 = 1.

Ответ: 1.