[tex] sin ^{2} 150[/tex]+[tex] cos^{2} 120[/tex]+[tex] tg^{2} 240[/tex]-[tex] ctg^{2} 135[/tex]. Created by алина220. algebra-ru

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алина220 @алина220

August 2021 1 4 Report

[tex] sin ^{2} 150[/tex]+[tex] cos^{2} 120[/tex]+[tex] tg^{2} 240[/tex]-[tex] ctg^{2} 135[/tex]

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Матов

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$sin^2150+cos^2120+tg^2240-ctg^2135=\\
sin^2(30*5)+cos^2(60*2)+tg^2(120*2)-ctg^2(3*45)=\\
\frac{1}{2}^2+(-\frac{1}{2})^2+(\sqrt{3})^2-(-1)^2=\\
\frac{1}{4}+\frac{1}{4}+3-1=\frac{5}{2}$

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