Cos( п-t)-sin(п/2+t)>1

Question

Cos( п-t)-sin(п/2+t)>1

Answer 1

Решение
Cos( п-t)-sin(п/2+t)>1
- cost - cost > 1
cost < - 1/2
arccos(-1/2) + 2πn < t < 2π - arccos(-1/2) + 2πn, n∈Z
2π/3 + 2πn < t < 2π - π/3 + 2πn, n∈Z
2π/3 + 2πn < t < 4π/3 + 2πn, n∈Z