Ответ:
Объяснение:sin²12=(1-cos24)/2
cos²π/18=(1+cosπ/9)/2
4cos²π/8 -2=2(2cos²π/8-1)=2·cosπ/4=2·√2/2=√2.
3-2sin²(-15°)=3-2sin²15°=3-(1-cos30°)=3-1+cos30°=2+√3/2.
(1+cosβ)(1-cosβ)=1-cos²β=sin²β.
sin²β/(1+cosβ)=(1-cos²β)/(1+cosβ)=(1-cosβ)(1+cosβ) /(1+cosβ)=1-cosβ.
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Ответ:
Объяснение:sin²12=(1-cos24)/2
cos²π/18=(1+cosπ/9)/2
4cos²π/8 -2=2(2cos²π/8-1)=2·cosπ/4=2·√2/2=√2.
3-2sin²(-15°)=3-2sin²15°=3-(1-cos30°)=3-1+cos30°=2+√3/2.
(1+cosβ)(1-cosβ)=1-cos²β=sin²β.
sin²β/(1+cosβ)=(1-cos²β)/(1+cosβ)=(1-cosβ)(1+cosβ) /(1+cosβ)=1-cosβ.