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Công thức cộng lượng giác phần 1.

Authored by Nhung Hoa

Mathematics

10th - 12th Grade

Used 52+ times

Công thức cộng lượng giác phần 1.
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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Chọn khẳng định đúng.

sin⁡(α+β)=sin⁡α.cos⁡β+sin⁡β.cos⁡α\sin\left(\alpha+\beta\right)=\sin\alpha.\cos\beta+\sin\beta.\cos\alpha

sin⁡(α+β)=sin⁡α.sin⁡β+cos⁡α.cos⁡β\sin\left(\alpha+\beta\right)=\sin\alpha.\sin\beta+\cos\alpha.\cos\beta

sin⁡(α+β)=sin⁡α+sin⁡β\sin\left(\alpha+\beta\right)=\sin\alpha+\sin\beta

cos⁡(α−β)=cos⁡α.cos⁡β−sin⁡α.sin⁡β\cos\left(\alpha-\beta\right)=\cos\alpha.\cos\beta-\sin\alpha.\sin\beta

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Chọn khẳng định sai?

 sin⁡(x−y)=sin⁡y.cos⁡x−sin⁡x.cos⁡y\sin\left(x-y\right)=\sin y.\cos x-\sin x.\cos y  

 cos⁡(α+β)=cos⁡α.cos⁡β−sin⁡α.sin⁡β\cos\left(\alpha+\beta\right)=\cos\alpha.\cos\beta-\sin\alpha.\sin\beta  

 tan⁡(x+y)=tan⁡x+tan⁡y1−tan⁡x.tan⁡y\tan\left(x+y\right)=\frac{\tan x+\tan y}{1-\tan x.\tan y}  

 1+tan⁡2θ=11−sin⁡2θ1+\tan^2\theta=\frac{1}{1-\sin^2\theta}  

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Với  π<x<3π2\pi<x<\frac{3\pi}{2} . Chọn khẳng định đúng.

 sin⁡x>0\sin x>0  

 cos⁡x>0\cos x>0  

 tan⁡x>0\tan x>0  

 cot⁡x>0\cot x>0  

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 sin⁡(x−π4) \sin\left(x-\frac{\pi}{4}\right)\   bằng

 2sin⁡x+2cos⁡x\sqrt{2}\sin x+\sqrt{2}\cos x  

 12sin⁡x+12cos⁡x\frac{1}{\sqrt{2}}\sin x+\frac{1}{\sqrt{2}}\cos x  

 sin⁡(5π4−x)\sin\left(\frac{5\pi}{4}-x\right)  

 sin⁡x−cos⁡x\sin x-\cos x  

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 tan⁡(α−π4) \tan\left(\alpha-\frac{\pi}{4}\right)\   bằng

 tan⁡(π4−α)\tan\left(\frac{\pi}{4}-\alpha\right)  

 1−tan⁡α1+tan⁡α\frac{1-\tan\alpha}{1+\tan\alpha}  

 cot⁡(α+π4)\cot\left(\alpha+\frac{\pi}{4}\right)  

 1+tan⁡α1−tan⁡α\frac{1+\tan\alpha}{1-\tan\alpha}  

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Chọn dãy có giá trị được sắp xếp theo thứ tự tăng dần

 sin⁡220°, sin⁡10°, sin⁡40°, sin⁡90°.\sin220\degree,\ \sin10\degree,\ \sin40\degree,\ \sin90\degree.  

 sin⁡40°, sin⁡90°, sin⁡220°, sin⁡10°.\sin40\degree,\ \sin90\degree,\ \sin220\degree,\ \sin10\degree.  

 sin⁡10°,sin⁡40°,sin⁡90°,sin⁡220°\sin10\degree,\sin40\degree,\sin90\degree,\sin220\degree  

 sin⁡220°,sin⁡90°,sin⁡40°, sin⁡10°\sin220\degree,\sin90\degree,\sin40\degree,\ \sin10\degree  

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Trong các đẳng thức sau, đẳng thức nào sai?

sin⁡x=cos⁡(x−π2)\sin x=\cos\left(x-\frac{\pi}{2}\right)

sin⁡(x−π)=sin⁡x\sin\left(x-\pi\right)=\sin x

tan⁡(x−π)=tan⁡x\tan\left(x-\pi\right)=\tan x

cot⁡α=cot⁡(α+π)\cot\alpha=\cot\left(\alpha+\pi\right)

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