Question

Тригонометрическое неравенство
√2sin (п/4 +x/2 )≥ 1

Answer 1

√2sin (п/4 +x/2 )≥ 1
sin (п/4 +x/2 )≥ 1/√2
π/4+2πл≤π/4+x/2≤3π/4+2πk
2πk≤x/2≤π/2+2πk
4πk≤x≤π+4πk
x∈[ 4πk;π+4πk,k∈z]