МАТ-31 3 АЙ 4 АПТА

sinx = a, x = ?

• x = (-1)^n arcsina + πn

• x = (-1)^n+1 arcsina + πn

• x = (-1)^n+1 arcsina + 2πn

• x = (-1)^n arcsina + 2nπ

cosx = a

• ± arccos + πn

• ± arccos + 2πn

• arccos + πn

• arccos + 2πn

tgx = a

• x = arctga + 2πn

• x = arcctga + πn

• x = arctga + πn/2

• x = arctga + πn

ctgx = a

• x = arcctga + 2πn

• x = arctga - πn

• x = arcctga + πn

• x = arcctga + 3πn

sinx = 1

• -π/2 + 2πn

• πn

• π/2 + 2πn

• π + 2πn

cosx = -1

• π + 2πn

• π + πn

• 2π + 2πn

• π/2 + 2πn

cosx = 0

• π/2 + πn

• π + πn

• π/2 + 2πn

• π + πn/2

tgx = 1

• π/2 + πn/4

• π/4 + 2πn

• π/4 + πn

• π/2 + πn

ctgx = 0

• π/4 + πn

• π/4 + 2πn

• π/2 + 2πn

• π/2 + πn

sinx > a

• [arcsin 𝑎 + 2𝜋𝑘; 𝜋 − arcsin 𝑎 + 2𝜋𝑘]

• [−arccos 𝑎 + 2𝜋𝑘; arccos 𝑎 + 2𝜋𝑘]

• [−𝜋 − arcsin 𝑎 + 2𝜋𝑘; arcsin 𝑎 + 2𝜋𝑘]

• [arctg𝑎 + 𝜋𝑘; 𝜋 + 𝜋𝑘)