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By the half-angle formula:
tan( 2)= (1-cos) (1+cos)) is a positive value since * 2=45°.
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Because cos45 degrees = (2
Obtained by cos(2x) = 2(cosx) 2-1.
cos45 degrees = 2 (degrees) 2-1
Solution (degrees) = ((cos45 degrees + 1) 2).
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。The analysis process is as follows:
Let a = degrees, then 2a = 45 degrees.
So tan2a=1, then 2tana (1-tan a)=1, the formula: tan( +=(tan +tan ) (1-tan tan).
tan²a+2tana-1=0
Because tana=>0
SoAdditional Information:
Commonly used and angle formulas.
sin(α+=sinαcosβ+ sinβcosα
sin(α-=sinαcosβ-sinb*cosα
cos(α+=cosαcosβ-sinαsinβ
cos(α-=cosαcosβ+sinαsinβ
tan(α+=(tanα+tanβ) / (1-tanαtanβ)
tan(α-=(tanα-tanβ) / (1+tanαtanβ)
Half-angle formula. sin^2(α/2)=(1-cosα)/2
cos^2(α/2)=(1+cosα)/2
tan^2(α/2)=(1-cosα)/(1+cosα)
tan(α/2)=sinα/(1+cosα)=(1-cosα)/sinα
Commonly used special angles as function values:
1、sin30°=1/2
2、cos30°=(√3)/2
3、sin45°=(√2)/2
4、cos45°=(√2)/2
5、sin60°=(√3)/2
6、cos60°=1/2
7、sin90°=1
8、cos90°=0
9、tan30°=(√3)/3
10、tan45°=1
11. Tan90° does not exist.
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The trigonometric value of the degree angle is calculated using the construction method.
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Let a= degrees.
then 2a = 45 degrees.
So tan2a=1
Then 2tana (1-tan a) = 1
tan²a+2tana-1=0
Because tana=>0.
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Let a= degrees.
then 2a = 45 degrees.
The split is blinded by tan2a=1
Then 2tana (1-tan a) = 1
tan²a+2tana-1=0
Because the disadvantage ruler tana = >0
So the rental source is high.
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tan45 = root number 2-1
The commonly used sum angle formula sin( +sin cos + sin cos sin( -sin cos -sinb*cos cos( +cos cos -sin sin cos( -cos cos +sin tan( +tan +tan ) 1-tan tan )tan( -tan -tan ) 1+tan tan ) half-angle formula sin 2( 2) = (1-cos ) 2cos 2( 2) = (1+cos ) 2tan 2( 2)=(1-cos) 1+cos )tan( 2)=sin (1+cos )=1-cos ) sin Commonly used Huizi special angle function value: 1, sin30°=1 22, cos30°=(3) 23, sin45°=(2) 24, cos45°=(zhi晌2) 25, sin60°=(3) 26, take Bifeng cos60°=1 27, sin90°=18, cos90°=09, tan30°=( 3) 310, tan45°=111, tan90° do not exist.
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Answer: That's all it takes. Exams don't have to be that complicated.
The trigonometric function table is as follows:
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