3sin²x+3sinxcosx+2cos²x-sin²x-cos²x=0
2sin²x+3sinxcosx+cos²x=0 /cos²x≠0
2tg²x+3tgx+1=0
D=9-8=1
a1=(-3-1)/4=-1 tgx=-1⇒x=-π/4+πn
a2=(-3+1)/4=-1/2 tgx=-1/2⇒x=-arctg1/2+πn
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
3sin²x+3sinxcosx+2cos²x-sin²x-cos²x=0
2sin²x+3sinxcosx+cos²x=0 /cos²x≠0
2tg²x+3tgx+1=0
D=9-8=1
a1=(-3-1)/4=-1 tgx=-1⇒x=-π/4+πn
a2=(-3+1)/4=-1/2 tgx=-1/2⇒x=-arctg1/2+πn