Sin^2(p-x) + cos(p/2+x)=0​

Question

Sin^2(p-x) + cos(p/2+x)=0​

Answer 1

sin²(π - x) + cos(π/2 + x) = 0

sin²x - sinx = 0

sinx•(sinx - 1) = 0

1) sinx = 0 ⇔ x = πn, n ∈ Z

2) sinx = 1 ⇔ x = π/2 + 2πk, k ∈ Z

ОТВЕТ: πn, n ∈ Z ; π/2 + 2πk, k ∈ Z