105.The number of real solutions of 1-cos2x=2 sin^° (sinx)-≤x≤÷ 2

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\sqrt{1 + c o s 2 x} = \sqrt{2} s i n^{- 1} (s i n x), - π < x \leq π

\frac{1 - sin x + . . . + {(- 1)}^{n} {sin}^{n} x + . . .}{1 + sin x + . . . + {sin}^{n} x} = \frac{1 - cos 2 x}{1 + cos 2 x}

x \neq (2 n + 1) \frac{π}{2}, n \in Z

s i n x = 2^{x} + 2^{- x}

| s i n x | \leq 1

2 sin 2 x + sin x (1 - 2 cos 2 x) - 4 = 0

x \in (0, π

\sqrt{1 + cos 2 x}

\sqrt{2} {cos}^{- 1} (cos x)

[\frac{π}{2}, π]

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