x a x a n sinta t arcsin

x² = a, x = ± √a n sin²t=a t = ± arcsin n cos²t=a t = ± arccos √ n tg²t=a t = ± arctg a + ∏n, n – Z n ctg²t=a t = ± arcctg √ √ a + ∏n, n – Z

2. 2 cos² 2 x – cos 2 x = 0 cos 2 x (2 cos 2 x – 1) = 0 cos 2 x = 0 2 x = п/2 + пn x = п/4 + пn/2, n-Z 2 cos 2 x – 1 = 0 cos 2 x = 1/2 2 x = ± п/3 + 2 пn x = ± п/6 + пn, n-Z

3. (sin 2 x – 1/2)(cos²x/2 – 1/2) = 0 sin 2 x – 1/2 = 0 sin 2 x = 1/2 2 x = (-1)ⁿп/6 + пn x = (-1)ⁿп/12 + пn/2, n-Z cos²x/2 – 1/2 = 0 cos²x/2 = 1/2 x/2 = ± arccos √ 1/2+ пn x = ± 2 arccos √ 1/2+2 пn, n-Z

№ 149