(tgα + ctgα)² = 1/sin²α cos²α
korzystam ze wzorow
tgα=sinα/cosα
ctgα=cosα/sinα
sin²α+cos²α=1
L=(sinα/cosα + cosα/sinα)²=
=[(sin²α+cos²α)/(cosαsinα)]²=
=(1/sinαcosα)²=
=1/sin²αcos²α=P
L=P
jest tożsamością trygonometryczną
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(tgα + ctgα)² = 1/sin²α cos²α
korzystam ze wzorow
tgα=sinα/cosα
ctgα=cosα/sinα
sin²α+cos²α=1
L=(sinα/cosα + cosα/sinα)²=
=[(sin²α+cos²α)/(cosαsinα)]²=
=(1/sinαcosα)²=
=1/sin²αcos²α=P
L=P
jest tożsamością trygonometryczną
L = (sinα/cosα + + cosα/sinα)²
L = (sin²α +cos²α)/ (sin²α * cos²α)
L =1/(sin²α * cos²α)
L = P