Câu hỏi trắc nghiệm (10 câu):
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- A. \({{\cos }^{2}}\frac{\alpha }{2}+{{\sin }^{2}}\frac{\alpha }{2}=\frac{1}{2}\)
- B. \({{\cos }^{2}}\frac{\alpha }{3}+{{\sin }^{2}}\frac{\alpha }{3}=\frac{1}{3}\)
- C. \({{\cos }^{2}}\frac{\alpha }{4}+{{\sin }^{2}}\frac{\alpha }{4}=\frac{1}{4}\)
- D. \(5\left( {{\cos }^{2}}\frac{\alpha }{5}+{{\sin }^{2}}\frac{\alpha }{5} \right)=5\)
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- A. \(P=\frac{105}{25}\)
- B. \(P=\frac{107}{25}\)
- C. \(P=\frac{109}{25}\)
- D. \(P=\frac{111}{25}\)
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- A. \(P=\frac{4}{3}\)
- B. \(P=\frac{5}{3}\)
- C. \(P=-\frac{4}{3}\)
- D. \(P=-\frac{5}{3}\)
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- A. \(P=-\frac{19}{13}\)
- B. \(P=\frac{19}{13}\)
- C. \(P=\frac{25}{13}\)
- D. \(P=-\frac{25}{13}\)
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Câu 5:
Biết \(\cot \alpha =5.\) Giá trị của \(P=2{{\cos }^{2}}\alpha +5\sin \alpha \cos \alpha +1\) bằng?
- A. \(P=\frac{10}{26}\)
- B. \(P=\frac{100}{26}\)
- C. \(P=\frac{50}{26}\)
- D. \(P=\frac{101}{26}\)
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- A. \(\tan \alpha =\frac{4}{3}\)
- B. \(\tan \alpha =\frac{3}{4}\)
- C. \(\tan \alpha =\frac{4}{5}\)
- D. \(\tan \alpha =\frac{5}{4}\)
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- A. \(\cot \alpha =\frac{\sqrt{5}}{4}\)
- B. \(\cot \alpha =\frac{\sqrt{3}}{4}\)
- C. \(\cot \alpha =\frac{\sqrt{2}}{4}\)
- D. \(\cot \alpha =\frac{\sqrt{2}}{2}\)
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- A. \(\sin \alpha \cos \alpha ={{a}^{2}}\)
- B. B. \(\sin \alpha \cos \alpha =2a\)
- C. \(\sin \alpha \cos \alpha =\frac{{{a}^{2}}-1}{2}\)
- D. \(\sin \alpha \cos \alpha =\frac{{{a}^{2}}-11}{2}\)
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- A. \(P=\frac{5}{4}\)
- B. \(P=\frac{7}{4}\)
- C. \(P=\frac{9}{4}\)
- D. \(P=\frac{11}{4}\)
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- A. \(P=\frac{\sqrt{15}}{5}\)
- B. \(P=\frac{\sqrt{17}}{5}\)
- C. \(P=\frac{\sqrt{19}}{5}\)
- D. \(P=\frac{\sqrt{21}}{5}\)
