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3cos²x = 4sinxcosx-sin²x
4sinxcosx-sin²x-3cos²x = 0
- 
- 
= 0
4tgx - tg²x - 3 = 0
tg²x - 4tgx + 3 = 0
Замена
tgx = a
a² - 4a + 3 = 0
D= 16 - 4*3 = 4
a₁ =
= 3
a₂ =
= 1
tgx = 3
x = arctg3 + πk, k∈z
tgx = 1
x =
+πk, k∈z
4sinxcosx-sin²x-3cos²x = 0
4tgx - tg²x - 3 = 0
tg²x - 4tgx + 3 = 0
Замена
tgx = a
a² - 4a + 3 = 0
D= 16 - 4*3 = 4
a₁ =
a₂ =
tgx = 3
x = arctg3 + πk, k∈z
tgx = 1
x =