Cho góc \(x\;({0^ \circ } < x < {180^ \circ })\) thỏa mãn \(\tan x = 3\). Tính biểu thức \(P = \frac{{10\sin x + 13\cos x}}{{7\sin x - 8\cos x}}\)?
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
Vì \(\tan x = 3\) nên \(\cos x \ne 0\)
Khi đó: \(P = \frac{{10\sin x + 13\cos x}}{{7\sin x - 8\cos x}} = \frac{{\frac{{10\sin x + 13\cos x}}{{\cos x}}}}{{\frac{{7\sin x - 8\cos x}}{{\cos x}}}} = \frac{{10\frac{{\sin x}}{{\cos x}} + 13}}{{7\frac{{\sin x}}{{\cos x}} - 8}}\)
\( = \frac{{10\tan x + 13}}{{7\tan x - 8}} = \frac{{10.3 + 13}}{{7.3 - 8}} = \frac{{43}}{{13}}\)
Chọn D.
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Câu hỏi liên quan
Mark the letter A, B, C or D to indicate the best arrangement of utterances or sentences to make a meaningful exchange or text in each of the following questions from 13 to 17
a. Hoa: "Thank you. I appreciate the compliment."
b. Linda: "I was at the workshop at the ASEAN Youth Volunteer Conference. You gave the best presentation!"
c. Linda: "It was also well-organised. And I noticed that your English has improved a lot. It's excellent."
d. Linda: "Keep up the great work! You're inspiring to many people."
e. Hoa: "I'm glad you like it, Linda. I worked really hard to prepare for it."
Mark the letter A, B, C or D on your answer sheet to indicate the best arrangement of utterances or sentences to make a meaningful exchange or text in each of the following questions from 13 to 17.
a. For example, here in Viet Nam, we can enjoy Italian pizza or Japanese sushi, in addition to our traditional food.
b. On the other hand, Vietnamese specialties, such as pho and banh mi, are also gaining popularity worldwide.
c. Fast food chains and international restaurants have become popular, offering a wide range of dishes and more food choices to local people.
d. Moreover, some international dishes use local ingredients, which make them unique and more suitable to local tastes.
e. In short, you can explore the flavorful world of traditional Vietnamese food or enjoy dishes from other countries around the world in Viet Nam.
Kết quả của chương trình sau là gì?
A = [2, 3, 5, "python", 6]
A.append(4)
A.append(2)
A.append("x")
del(A[2])
print(len(A))
Read the following passage 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.
Vietnamese Women’s Achievements
Women have always played an important role in Vietnam’s history. Some fight for their country, some inspire others, and some make positive changes to society. Their contributions have shaped the nation in various ways, leaving a lasting impact on culture, politics, and the arts.
Trưng Trắc and Trưng Nhị are famous examples of women who fought for their country’s freedom. Known in Vietnamese as “Hai Bà Trưng,” the Trưng sisters successfully led their people in a rebellion against foreign invaders in 40 A.D. After their victory, they ruled the country for three years, demonstrating remarkable leadership and bravery. As the first female rulers of Vietnam, the Trưng sisters have become symbols of patriotism and resilience. Their significance is even greater considering that Vietnamese women at the time had very limited access to education and politics. Their story continues to inspire generations.
Sương Nguyệt Anh is another example of an influential Vietnamese woman. As the daughter of the patriotic poet Nguyễn Đình Chiểu, she mastered literature from a young age. She worked as a teacher before becoming the editor-in-chief of Nữ Giới Chung, the first women’s newspaper in Sài Gòn, in 1918. As the first female editor in Vietnam, she made significant contributions to the press, feminism, and poetry. Through her work, she promoted women’s rights and encouraged female empowerment.
A third example is Điềm Phùng Thị. She graduated from Hà Nội Medical University in 1946 and earned a PhD in dentistry in France in 1954. However, she later pursued a career in sculpture, creating artworks that reflected her love for Vietnam. She exhibited her work throughout Europe and became the first female Vietnamese member of the European Academy of Arts and Sciences in 1992. Her name was later recorded in the Larousse Dictionary of Painters, recognizing her as a remarkable artist.
According to the passage, which of the following statements is TRUE?
Xã hội Cham-pa bao gồm các tầng lớp chủ yếu là
Read the following passage about managing change 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 31 to 40.
Growing up in Athens, Greece, Lydia Borsi remembers feeling tested when she tried to deal with mental health issues. Borsi says she had been seeing a therapist for anxiety. But she notes that people in Greece do not openly discuss mental health issues, which also get little attention in general healthcare services. “It was a lot more secretive. And people thought that I was a lot more unique,” Borsi said.
That all changed in 2017 when she moved to the United States to study at the University of Rochester in Rochester, New York. “When I came here, I really liked that people were not afraid to speak up about mental health and say that it’s important,” she said. The university was very supportive of her needs and offered plenty of information. She also became involved with a school group called Active Minds that helps students deal with mental health issues. [A]
Then due to the spread of the novel coronavirus, the University of Rochester had to move all its classes and some of its mental health resources online. Luckily, Borsi was able to connect with a mental health expert outside the school, in the local community. [B]
But as many of her American friends returned home, Borsi was stuck. Greece had succeeded in limiting the spread of the virus within its borders, but flights there from the U.S. are barred until July. Also, the health crisis has put her plans to seek admission to medical school in Britain on hold. [C] And she is not alone.
[D] In April, Active Minds launched a survey of over 2,000 students at U.S. colleges and universities. The study found that over 80 percent of those asked said the coronavirus crisis had negatively affected their mental health. One in five said it has affected them severely.
Laura Horne, chief program officer at Active Minds, says the findings are especially troubling given that the crisis is only going to make it harder for colleges and universities to help these students. “Colleges and universities had to pivot rather quickly to respond to COVID-19 and figure out all facets of university life, including mental health services. Now they have to figure out how to communicate with students,” Horne said.
Frank Chen is a Houston, Texas-based psychiatrist who has worked with college-age young adults. He points out that individuals at that age are in an important stage of their mental development. And college can be a difficult experience for students with or without mental health issues, as they balance work, studies, and personal relationships. Adding a major world event, like the spread of the coronavirus, makes it very difficult to predict what the long-term psychological effects might be. “I don’t think that there’s another event in the history of the people who are alive now that can really measure up to this,” said Chen.
According to the passage, how has coronavirus crisis affected 20 percent of college students?
Đâu là yếu tố có giá trị ổn định, đồng thời là hạt nhân, là động lực liên kết và nhất thể hoá của liên minh châu Âu (EU)?
Năm 1967, Hiệp hội các quốc gia Đông Nam Á (ASEAN) ra đời trong bối cảnh
H, K và G cùng đi xe điện đi học. H thấy G đội mũ bảo hiểm nhưng lại cài quai ra sau gáy nên nhắc bạn, G không nghe và cho rằng cứ đội mũ là được. Còn K thì không đội mũ và cho rằng đi xe điện thì không cần đội mũ bảo hiểm. P đi qua nhắc các bạn không nên cãi nhau trên đường và đừng dàn hàng để các phương tiện khác còn lưu thông. Trong trường hợp trên, những ai sau đây đã vi phạm pháp luật về an toàn giao thông?
Chọn ý đúng: Tế bào nhân sơ được cấu tạo bởi 3 thành phần chính là?
Nguồn gốc của các loại vật nuôi hiện nay là?
Quyền và nghĩa vụ trong việc thực hiện pháp luật về ngân sách nhà nước được thể hiện qua các nội dung nào dưới đây?
Trong thí nghiệm lai giữa cây cải bắp (2n = 18) và cây cải củ (2n = 18), hầu hết con lai khác loài được tạo ra đều bị bất thụ, nhưng một số ít cây có khả năng sinh sản do đột biến làm tăng gấp đôi số lượng nhiễm sắc thể, tạo thành loài mới. Phát biểu nào sau đây Sai?
Nội dung nào sau đây không phản ánh đúng ý nghĩa của những thành tựu văn minh Tây Âu thời kì Phục hưng?
Nội dung nào sau đây thể hiện điểm sáng tạo của Lê - nin khi vận dụng những đặc điểm của nền kinh tế tư bản chủ nghĩa trong quá trình khôi phục kinh tế ở Liên Xô (1921-1925)?
Màu nhóm đất chủ đạo của Việt Nam được tạo thành do những yếu tố nào sau đây?
Công trình kiến trúc nổi bật nhất của Ai Cập cổ đại là
Read of the following leaflet 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 7 to 12.
Different Paths, One Journey: Celebrating Humanity Together
A Global Cultural Festival
Join Our Celebration
Some people like busy city life, while (7)_________ enjoy quiet country living. We want to bring people together and help them (8)_________ each other.
The festival will show many (9)_________ of music from around the world. (10)_________ our plan, the event will last for three days.
The party will have many (11)_________ and fun activities for everyone. (12)_________ of the food will be there, with some of the dishes from different countries.
Things To Do:
Try foods from different countries
Watch dance shows
Learn simple words in new languages
Make friends from other places
Play games from around the world
Contact: hello@festival.org | 555-1234
"We are different but we are friends!"
Nguyên tố nào sau đây có vai trò quan trọng tạo nên sự đa dạng của các hợp chất hữu cơ trong tế bào?
Xác định: Sơ đồ khối của mạch điều khiển tín hiệu có mấy khối?