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gaga5115
@gaga5115
July 2022
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пожалуйста, помогите. Всего 3 уравнения. Очень нужно
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nafanya2014
Verified answer
1) tg(-x/3) = √3
-x/3 = arc tg√3 + πk. k∈Z
- x/3 = π/3 + πk, k ∈Z
x = -π - 3πk, k∈Z
2) Cos(-5x) = -0,5
-5x = +-arcCos(-0,5) + 2πk, k∈Z
-5x = +-2π/3 + 2πk, k∈Z
x = +- 2π/15 - 2πk/5, k ∈Z
3) 4tg(2x - π/4) = 1 |:4
tg(2x - π/4) = 1/4
2x - π/4 = arctg(1/4) + πk, k∈Z
2x = π/4 + arctg(1/4) + πk, k∈Z
x = π/8 + 1/2·arctg(1/4) + πk, k ∈Z
2 votes
Thanks 1
gaga5115
большое спасибо за качественную и своевременную помощь)
nafanya2014
спасибо и Вам
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Answers & Comments
Verified answer
1) tg(-x/3) = √3-x/3 = arc tg√3 + πk. k∈Z
- x/3 = π/3 + πk, k ∈Z
x = -π - 3πk, k∈Z
2) Cos(-5x) = -0,5
-5x = +-arcCos(-0,5) + 2πk, k∈Z
-5x = +-2π/3 + 2πk, k∈Z
x = +- 2π/15 - 2πk/5, k ∈Z
3) 4tg(2x - π/4) = 1 |:4
tg(2x - π/4) = 1/4
2x - π/4 = arctg(1/4) + πk, k∈Z
2x = π/4 + arctg(1/4) + πk, k∈Z
x = π/8 + 1/2·arctg(1/4) + πk, k ∈Z