Trong các hệ thức sau, hệ thức nào không đúng?
\(\cos ^{4} \alpha-\sin ^{4} \alpha=\cos ^{2} \alpha-\sin ^{2} \alpha\)
\(\cos ^{4} \alpha+\sin ^{4} \alpha=1\).
\((\sin \alpha+\cos \alpha)^{2}=1+2 \sin \alpha \cos \alpha\).
\((\sin \alpha-\cos \alpha)^{2}=1-2 \sin \alpha \cos \alpha\).
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
Sử dụng máy tính bỏ túi thử với \(\alpha=\frac{\pi}{6}\) ta có \(\cos ^{4} \frac{\pi}{6}+\sin ^{4} \frac{\pi}{6}=\frac{5}{8}\).
Câu hỏi liên quan
Ngôn ngữ thao tác dữ liệu bao gồm các lệnh cho phép thực hiện công việc gì?
Ngành tài chính - ngân hàng có vai trò nào sau đây?
Một người đứng ở một vách đá nhô ra biển và ném một hòn đá theo phương ngang xuống biển với tốc độ 16 m/s. Vách đá cao 70 m so với mặt nước biển. Lấy g = 9,8 m/s2. Tốc độ của hòn đá lúc chạm vào mặt nước là bao nhiêu?
Trong nuôi cấy liên tục, số lượng tế bào sẽ
Dãy nào sau đây gồm các chất đều có khả năng tham gia phản ứng trùng hợp?
Phát biểu nào sai khi nói về quá trình lên men?
Biện pháp nào bảo vệ thông tin cá nhân là không đúng khi truy cập mạng?
Ý nào dưới đây là thể hiện đặc điểm của mô hình sản xuất kinh doanh hợp tác xã?
GB là đơn bị đo yếu tố nào?
Read the following passage about human life expectancy and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions from 23 to 30.
How long will a baby born today live? 100 years? 120 years? Scientists are studying genes that could mean long life for us all.
There are already many, many people who have passed the landmark age of 100. In fact, there are now so many healthy, elderly people that there’s a name for them: the wellderly. These are people over the age of eighty who have no major illnesses, such as high blood pressure, heart disease or diabetes.
There are many scientific studies of communities where healthy old age is typical. These include places like Calabria in southern Italy and the island of Okinawa in Japan. In Calabria, the small village of Molochio has about 2,000 inhabitants. And of these, there are at least eight people over a hundred years old. When researchers ask people like this the secret of their long life, the answer is almost always about food and is almost always the same: ‘I eat a lot of fruit and vegetables.’ ‘I eat a little bit of everything.’ ‘I neither smoke nor drink.’
In the past, scientists looked at things such as diet and lifestyle for an explanation of long life, but these days they are also looking at genetics. Researcher Eric Topol says that there must be genes that explain why people are protected from the effects of aging process. The new research into long life did scrutinize groups of people who have a genetic connection. One interesting group lives in Ecuador. In one area of the country there are a number of people with the same genetic condition. It’s called Laron syndrome. These people don’t grow very tall – just over one metre. But Laron syndrome also give them protection against cancer and diabetes. As a result, they live longer than other people in their families. Meanwhile, on the Hawaiian island of Oahu, there’s another group of long-lived men, Japanese-Americans. They have a similar gene to the Laron syndrome group.
Back in Calabria, researchers constructed the family trees of the 100-year-old people. They looked at family information from the 19th century to today. It is concluded that there are genetic factors that give health benefits to the men. This is a surprising result because generally in Europe, women live longer than men. So what really makes people live longer? It seems likely that it is an interaction of genes, the environment and probably a third factor – luck.
The word “they” in paragraph 4 refers to_______.
Read the following advertisement and mark the letter A, B, C or D on your answer sheet to indicate the option that best fits each of the numbered blanks from 1 to 6.
Living Every Moment Fully: Secrets to Happiness in the Digital Era
Are you seeking balance in your life? The (1)_________ balance between online and offline worlds awaits you!
Our modern (2)_________ create unnecessary daily life stress in our increasingly connected world. Stolen moments (3)_________ your phone during important conversations add up to lost time. We should remind people (4)_________ the value of being present together.
The secret (5)_________ in finding your perfect digital-life harmony through mindful technology use. Start prioritizing real connections today (6)_________ your life into something meaningful.
Contact us now at Digital Wellness Center for your free consultation!
Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer.
Why are we always pointing to Instagram as the cause of mental illness in our teenagers? It’s frustrating that abusive relationships, and the trauma they cause, are rarely mentioned in discussions about the prevalence of mental health problems in young people. Research by Women’s Aid and Cosmopolitan has found that a third of teenage girls have been in an abusive relationship. And, if that isn’t shocking enough, when the remaining two-thirds were asked further questions, it emerged that 64% of them had, in fact, experienced abusive behaviour – they just didn’t realise it was abuse.
Domestic abuse is normally associated with women cowering on the floor, as a violent husband waits to strike, or mothers covering up their black eyes with concealer before the school run. On the same day that the domestic abuse bill received its second reading in parliament, Age UK called for action to tackle domestic abuse of over-60s, whose needs it says are often overlooked by the law, policy and practice. The needs of teenagers in the heady throes of first love who are in emotionally abusive relationships also need to be recognised.
Common themes of such relationships include (though are not limited to) excessive jealousy, repeated criticism and sexual coercion. If your boyfriend or girlfriend is checking your phone, constantly asking to know your whereabouts, getting upset when you spend time away, turning up unannounced to surprise you, these are all examples of coercive control. If they never apologise in an argument and make everything your fault, tell you what you can and can’t wear, undermine you and/or publicly humiliate you under the guise of a “joke”, these again are common instances of controlling behaviour. Ditto, if they have a Jekyll/Hyde personality, make you feel like you are walking on eggshells even when things are seemingly going well, and threaten to hurt themselves if you leave. When it comes to sexual coercion and rape, examples include making you feel pressured to perform sexual acts you’re uncomfortable with, such as sending nude photos, having sex before you’re ready, being pressured to re-enact extreme sex from porn films or being told you don’t love them if you say no.
Often the victim in an abusive relationship can never quite put their finger on one thing, but the overwhelming feeling is of a general unease, feeling unsafe, defective, wrong, scared and as if you are going crazy. It’s your “yourselfness” that’s being consistently undermined, controlled and attacked by the person who claims to love you.
Which of the following is closest in meaning to “prevalence” as used in the passage?
Số proton và neutrpn trong hạt nhân nguyên tử \(_{92}^{235}U\) lần lượt là
Sự phân bố electron trên các phân lớp thuộc các lớp electron dựa vào nguyên lí hay quy tắc nào sau đây?
Loại máy móc nào sau đây có thể thay thế trâu trong canh tác:
Thời gian sử dụng nhà kính đơn giản:
Đâu là nhận xét đúng về yếu tố lịch sử trong văn bản Truyện An Dương Vương và Mỵ Châu - Trọng Thủy?
Động đất và núi lửa xảy ra nhiều nhất ở nơi tiếp xúc của mảng nào?
Chuyển động có đặc điểm nào sau đây là chuyển động chậm dần?
Một ưu điểm của mạng LAN so với Internet là