period of cos[|sinx| - |cosx|]

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s i n (s i n x + c o s x) = c o s (c o s x - s i n x)

s i n x

\sqrt{2} c o s x

\sqrt{2} s i n x

∣ ∣ ∣ ∣ \begin{matrix} s i n x & c o s x & c o s x c o s x & s i n x & c o s x c o s x & c o s x & s i n x \end{matrix} ∣ ∣ ∣ ∣ = 1

\frac{- π}{2} \leq x \leq \frac{π}{2},

t a n x

f (x) = cos (| sin x | - | cos x |)

3 {(s i n x - c o s x)}^{4} + 6 {(s i n x + c o s x)}^{2} + 4 ({s i n}^{6} x + {c o s}^{6} x)

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