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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

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Chọn khẳng định đúng.

sin(α+β)=sinα.cosβ+sinβ.cosα\sin\left(\alpha+\beta\right)=\sin\alpha.\cos\beta+\sin\beta.\cos\alpha

sin(α+β)=sinα.sinβ+cosα.cosβ\sin\left(\alpha+\beta\right)=\sin\alpha.\sin\beta+\cos\alpha.\cos\beta

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

cos(αβ)=cosα.cosβsinα.sinβ\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(xy)=siny.cosxsinx.cosy\sin\left(x-y\right)=\sin y.\cos x-\sin x.\cos y  

 cos(α+β)=cosα.cosβsinα.sinβ\cos\left(\alpha+\beta\right)=\cos\alpha.\cos\beta-\sin\alpha.\sin\beta  

 tan(x+y)=tanx+tany1tanx.tany\tan\left(x+y\right)=\frac{\tan x+\tan y}{1-\tan x.\tan y}  

 1+tan2θ=11sin2θ1+\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.

 sinx>0\sin x>0  

 cosx>0\cos x>0  

 tanx>0\tan x>0  

 cotx>0\cot x>0  

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 sin(xπ4) \sin\left(x-\frac{\pi}{4}\right)\   bằng

 2sinx+2cosx\sqrt{2}\sin x+\sqrt{2}\cos x  

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

 sin(5π4x)\sin\left(\frac{5\pi}{4}-x\right)  

 sinxcosx\sin x-\cos x  

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 tan(απ4) \tan\left(\alpha-\frac{\pi}{4}\right)\   bằng

 tan(π4α)\tan\left(\frac{\pi}{4}-\alpha\right)  

 1tanα1+tanα\frac{1-\tan\alpha}{1+\tan\alpha}  

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

 1+tanα1tanα\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

 sin220°, sin10°, sin40°, sin90°.\sin220\degree,\ \sin10\degree,\ \sin40\degree,\ \sin90\degree.  

 sin40°, sin90°, sin220°, sin10°.\sin40\degree,\ \sin90\degree,\ \sin220\degree,\ \sin10\degree.  

 sin10°,sin40°,sin90°,sin220°\sin10\degree,\sin40\degree,\sin90\degree,\sin220\degree  

 sin220°,sin90°,sin40°, sin10°\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?

sinx=cos(xπ2)\sin x=\cos\left(x-\frac{\pi}{2}\right)

sin(xπ)=sinx\sin\left(x-\pi\right)=\sin x

tan(xπ)=tanx\tan\left(x-\pi\right)=\tan x

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

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