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NeZeRAvix

sf sinxcosx=0.25 \ 2sinxcosx=0.5 \ sin2x=0.5 \ left [ begin{array}{I} sf 2x=dfrac{5pi}{6}+2pi k \ sf 2x=dfrac{pi}{6}+2pi k end{array}  Rightarrow  left [ begin{array}{I} sf x=dfrac{5pi}{12}+pi k \ sf x=dfrac{pi}{12}+pi k end{array} ;  k in mathbb{Z}

sf 1) \ -pi leq dfrac{pi}{12}+pi k leq pi \ -dfrac{13}{12}leq k leq dfrac{11}{12} \ \ k=-1;  k=0\ \ 2) \ -pi leq dfrac{5pi}{12}+pi k leq pi \ -dfrac{17}{12}leq k leq dfrac{7}{12} \ \ k=-1;  k=0

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