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Wiskae
a fost răspuns

cos(2x)+2sin(2x)=1
Clasa a 10-a

Răspuns :

Zindrag
√1-sin²2x= 1-2sin2x
ridicam la patrat si obtinem
1-sin²2x= 1+4sin²2x-4sin2x
5sin²2x-4sin2x=0
sin2x(5sin2x-4)=0
1) sin2x=0 ⇒ 2x=kπ, k∈Z => x=kπ/2
2) 5sin2x-4=0
sin2x=4/5
2x= arcsin4/5 +2kπ, k∈Z
x= (arcsin 4/5)/2 +kπ

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