3 szkoły ponadpodstawowej

III liceum

III technikum

MATeMAtyka 3. Maturalne karty pracy zakres podstawowy i rozszerzony

(2−cosx)2≤4sin2 2x​−4cos2 2x​+4,75   4−4cosx+cos2x≤4(sin2 2x​−cos2 2x​)+4,75

cos2x2cosx−3<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.08em' viewBox='0 0 400000 1080' preserveAspectRatio='xMinYMin slice'><path d='M95,702
c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
c69,-144,104.5,-217.7,106.5,-221
l0 -0
c5.3,-9.3,12,-14,20,-14
H400000v40H845.2724
s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
M834 80h400000v40h-400000z'/></svg>​​&lt;0   Zał: cos2x=0   cosx=0

f(x)=log2cosx​ (9−x2)   Zał: 1)   2cosx&gt;0   cosx&gt;0   x∈(−2π​+2kπ,2π​+2kπ),  k∈Z     2)

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