1. Լուծել հավասարումը
ա) 2sin2x – sinx = 0
sinx * (2sinx – 1) = 0
x = 0
2sinx – 1 = 0
sinx = 0
sinx = 1/2
x = +- pk, k- z
x = p/6 + 2pk, k- z
գ) tg2x – tgx = 0
tgx * (tgx – 1) = 0
(tgx – 1 = 0)
p/4 + pk, k- z = +- pk, k- z
դ) 5cosx = sin2x
5cosx – 2sinx cosx = 5
cosx * (5 – 2sinx2)
cosx = 0
sinx < 5/2 = 5
x = 4/2 = 2pk
x = p/k + 2pk
5 = 3p/6 + 10k
2. Լուծել հավասարումը
ա) 2sinx + tg * (p – x) = 0
բ) ctg x/2 + cos * (p – x) = 1
sinx/1 + cosx – cosx = 1
sinx – (1 + cosx) * cosx/1 + cosx = 1
sinx – cosx – cos2x = 1 + cosx
sinx – 2cosx – cos2x – 1 = 0
sinx – 2cosx – cos2x – sin2x – cos2x = 0
sinx – 2cosx – 2cos2x – sin2x = 0
sinx * (1 – sinx) – 2cosx * (1 + cosx) = 0, sinx * cosx
1 – sinx/cosx * 2 * (1 + cosx)/sinx = 0
tg x/2 – 2 * 1/ctgx/2 = 0
tg x/2 – 2 * tg x/2 = 0
tg x/2 = 0
x/2 = +- pk
x = +- 2pk, k- z