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ZXENEKR
@ZXENEKR
July 2022
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3sin^2x-4sinx*cosx+5cos^2x=2
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sedinalana
Verified answer
3sin²x-4sinxcosx+5cos²x-2sin²x-2cos²x=0/cos²x
tg²x-4tgx+3=0
tgx=a
a²-4a+3=0
a1+a2=4 U a1*a2=3
a1=1⇒tgx=1⇒x=π/4+πn,n∈z
a2=3⇒tgx=3⇒x=arctg3+πk,k∈z
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Answers & Comments
Verified answer
3sin²x-4sinxcosx+5cos²x-2sin²x-2cos²x=0/cos²xtg²x-4tgx+3=0
tgx=a
a²-4a+3=0
a1+a2=4 U a1*a2=3
a1=1⇒tgx=1⇒x=π/4+πn,n∈z
a2=3⇒tgx=3⇒x=arctg3+πk,k∈z