sprawdż tożsamosci
1+sinx/ cosx = cosx/1-sinx
(2/cos²x) -1 = 1 +2ctg²x
(1 + sinx)(1 - sinx) = cosx*cosx
1 - sin^2x = cos^2x
cos^2x = cos^2x
L = P
L = 2 / (1 - sin^2x) - 1 = 2/ cos^2x - 1 =
2(sin^2x + cos^2x) / cos^2x - 1=
2sin^2x/cos^2x + 2cos^2x/cos^2x - 1 = 2tg^2x + 2 - 1 = 1 + 2tg^2x ≠ P
załącznik.
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1+sinx/ cosx = cosx/1-sinx
(1 + sinx)(1 - sinx) = cosx*cosx
1 - sin^2x = cos^2x
cos^2x = cos^2x
L = P
(2/cos²x) -1 = 1 +2ctg²x
L = 2 / (1 - sin^2x) - 1 = 2/ cos^2x - 1 =
2(sin^2x + cos^2x) / cos^2x - 1=
2sin^2x/cos^2x + 2cos^2x/cos^2x - 1 = 2tg^2x + 2 - 1 = 1 + 2tg^2x ≠ P
załącznik.