тригонометричні рівняння

x = ± 5π/6 + 10πn, n ∈ Z

x = (−1)^k 25π/6 + 5πn, n ∈ Z

x = ± 10π/3 + 10πn, n ∈ Z

x = ± 5π/3 + 5πn, n ∈ Z

x = ± 25π/6 + 10πn, n ∈ Z

x = ± 4π/3 − 6 + 4πn, n ∈ Z

x = (−1)^k π/6 − 6 + 2πn, n ∈ Z

x = ± 2π/3 − 3 + 2πn, n ∈ Z

x = ± 2π/3 − 6 + 4πn, n ∈ Z

x = ± 5π/6 − 6 + 4πn, n ∈ Z

x = (−1)^k⋅7π/8 + 7π/2⋅n, n ∈ Z

x = (−1)^k+1⋅7π/8 + 7π/2⋅n, n ∈ Z

x = (−1)^k⋅7π/8 + πn, n ∈ Z

x = ± 7π/8 + 7πn, n ∈ Z

x = (−1)^k+1⋅π/4 + πn, n ∈ Z

x = (−1)^k⋅ 4π/3 + 32 + 8πn, n ∈ Z

x = (−1)^k⋅ 4π/3 + 32 + πn, n ∈ Z

x = (−1)^k+1⋅ 4π/3 + 32 + 8πn, n ∈ Z

x = (−1)^k+1⋅ 4π/3 + 32 + πn, n ∈ Z

x = (−1)^k+1⋅ π/6 + 4 + πn, n ∈ Z

x = −2π/3 + 2πn, n ∈ Z

x = 4π/3 + 2πn, n ∈ Z

x = 4π/3 + πn, n ∈ Z

x = 5π/3 + 2πn, n ∈ Z

x = −π/3 + 2πn, n ∈ Z

x = π/6 + πn, n ∈ Z

x = π/6 + 1 + πn, n ∈ Z

x = −π/9 + 1/3 + π/3⋅n, n ∈ Z

x = π/9 + 1/3 + π/3⋅n, n ∈ Z

x = π/18 + 1/3 + π/3⋅n, n ∈ Z

x = π/12 + π/6⋅n, n ∈ Z

x = −π/12 + π/6⋅n, n ∈ Z

x = 5π/6 + πn, n ∈ Z

x = π/2 + πn, n ∈ Z

x = π/12 + πn, n ∈ Z

1

2

3

4

5

sin x = 0,52

ctg (x + π∕8) = 2∕5

tg 8x - 5 = 0

5cos x∕8 = 2π

п -arctg3+ пn,nєZ; п/4+ пm,mєZ

arctg3+ пn,nєZ;

п -arcctg3+ пn,nєZ; п/4+ пm,mєZ

п -arcctg3+ 2пn,nєZ; п/4+ 2пm,mєZ

Коренів немає

arctg6+πn n∈Z

-arctg6+πn n∈Z

arcctg6+πn n∈Z

12ctg²x+ctgx+2=0

2ctg²x+ctgx-12=0

12tg²x-tgx-2=0

2tg²x+tgx-12=0

Один

Два

Три

Чотири

π +πn , n∈Z

π/4+πn n∈Z

π/4+2πn n∈Z

-π/4+πn n∈Z