Упростите выражение:
[tex]\frac{1}{1-tg^{2}\alpha} - \frac{1}{1-ctg^{2}\alpha}[/tex]
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Упростите выражение:
[tex]\frac{1}{1-tg^{2}\alpha} - \frac{1}{1-ctg^{2}\alpha}[/tex]
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Verified answer
1-tg^2a=cos2a/sin^2a
1-ctg^2a=-cos2a/cos^2a
sin^2a/cos2a+cos^2a/cos2a=1/cos2a
1-tg^2a=cos2a:sin^2a 1-ctg^2a=-cos2a:cos^2a sin^2a:cos2a+cos^2a:cos2a=1:cos2a