Help me !!
Cho tam giác ABC cân tại B có góc ABC = 200. Lấy điểm K thuộc BC sao cho BK=AC . Tính góc AKC ???
Gợi ý: Dùng phép quay !!
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a) \(1-2018sin\left(2019x+2020\right)\)
có: \(-1\le sin\left(2019x+2020\right)\le1\)
\(-2018\le2018sin\left(2019x+2020\right)\le2018\)
\(-2017\le1-2018sin\left(2019x+2020\right)\le2019\)
b) \(1+\sqrt{5+4cos3x}\)
có: \(-1\le cos3x\le1\)
\(-4\le4cos3x\le4\)
\(1\le5+4cos3x\le9\)
\(1\le\sqrt{5+4cos3x}\le3\)
\(2\le1+\sqrt{5+4cos3x}\le4\)
c) \(y=\sqrt{3}sin5x-cos5x\)
Đặt \(\sqrt{3}sin5x-cos5x=c\)
Điều kiện có nghiệm của phương trình này là \(c^2\le\left(\sqrt{3}\right)^2+1^2=4\Leftrightarrow-2\le c\le2\)
do đó \(-2\le\sqrt{3}sin5x-cos5x\le2\)
d) \(5+4sin2x.cos2x=5+2sin4x\)
\(-1\le sin4x\le1\)
\(-2\le2sin4x\le2\)
\(3\le5+2sin4x\le7\)
1. He lost his money simply because he wasn't careful. (If)
=> If he hadn't been careless , he woundn't have lost his money
2. He didn't hurry, so he missed the train. (If)
=> If he had hurried, he could have caught the train.
3. We didn't go because it rained. (If it hadn't)
=> If it hadn't rained we would have gone
4. Without this treatment, the patient would have died. (If he)
=> If it hadn’t been for this treatment, the patient would have died.
5. Mr.Mills lost his job because he was late every day. ( If Mr.Mills)
=> If Mr Mills hadn't been late everyday ,he wouldn't have lost his job
6. We didn't go on holiday because we didn't have enough money. (If we)
=> . If we had had enough money we would have gone on holiday.
1. He lost his money simply because he wasn't careful. (If)
=>if he had been cafeful, he would not have lost his money
2. He didn't hurry, so he missed the train. (If)
=>If he had hurried, he would have missed.
3. We didn't go because it raines. (If it hadn't)
=>If it hadn't rained, we would have gone.
4. Without this treatment, the patient would have died. (If he)
=>If he hadn't been for this treatment, the patient would have died
5. Mr.Mills lost his job because he was late every day. ( If Mr.Mills)
=>If Mr.Mills losts his job ,he lates every day
6. We didn't go on holiday because we didn't have enough money. (If we)
=> If we had had enough money, we would have gone holiday
7. I was sick yesterday, so I didn't go to class (If)
=>If I am sick, I don't go to school
8. Because Alan never eats breakfast, he always overeats at lunch (If)
=>If Alan never eats breakfast, he always overeats at lunch
9.Fred wouldn't do that if he didn't have your permission (Unless)
=>Unless Fred had your permission, he wouldn't for that
10. If no more guests come, there will be enough food for everyone. (Unless)
=>Unless no more guests come, there will not be enough food for everyone