Решите неравенство. sin(п+t)-cos(3п/2+t)<1

Question

Решите неравенство. sin(п+t)-cos(3п/2+t)<1

Answer 1

Решениеsin(п+t)-cos(3п/2+t)<1<span>-sint - sint < 1
-2*sint < 1
sint < -1/2
-π - arcsin(-1/2) + 2πn < arcsin(- 1/2) + 2πn, n∈Z
- π - π/6 + 2πn < -π/6 + 2πn, n∈Z
-7π/6 + 2πn < -π/6 + 2πn, n∈Z