Решите неравенство sin(pi-t)+cos(3pi/2+t)> -корень 3

Question

Решите неравенство sin(pi-t)+cos(3pi/2+t)> -корень 3

Answer 1

Sin(π - t) + cos(3π/2 + t) > - √3
sint + sint > - √3
2sint > - √3
sint > - √3/2
arcsin(-√3/2) + 2πn < t < π - arcsin(-√3/2) + 2πn, n∈Z<br>-π/3 + 2πn < t < π -( - π/3) + 2πn, n∈Z<br>-π/3 + 2πn < t <  (4π/3) + 2πn, n∈Z