Eng sodda trigonometrik tenglamalar
Javoblar ota-onalar va o‘qituvchilar uchun.
1
2 cos x + 1 = 0 tenglamani yeching.
x = ± 2π/3 + 2πk, k ∈ ℤ
2
sin 2x = 1/2 tenglamani yeching.
x = (−1)ᵏ π/12 + πk/2, k ∈ ℤ
3
tg x = √3 tenglamani yeching.
x = π/3 + πk, k ∈ ℤ
4
arcsin(√3/2) + arccos(1/2) ni hisoblang.
2π/3
5
sin²x − 3 sin x + 2 = 0 tenglamani yeching va nima uchun bitta ildiz tashlab yuborilishini tushuntiring.
sin x = t desak, t² − 3t + 2 = 0, t = 1 yoki t = 2. sin x = 2 mumkin emas; sin x = 1 dan x = π/2 + 2πk, k ∈ ℤ.