chung minh cac he thuc sau

M

mavuongkhongnha

a) (cotX)^2- (cosX)^2 =(cosX)^2*(cotX)^2
b) 1/(1-sinX)+1/(1+sinX)=2/(cosX)^2 mjnh dag can gap nhe'
giải
1. [TEX]cot^2x-cos^2x[/TEX]

[TEX]=\frac{cos^2x}{sin^2x}-\frac{cos^2x.sin^2x}{sin^2x}[/TEX]

[TEX]=\frac{cos^2x(1-sin^2x)}{sin^2x}[/TEX]

[TEX]=cot^2x.cos^2x[/TEX]

2.[TEX]\frac{1+sinx+1-sinx}{1-sin^2x}[/TEX]

[TEX]=\frac{2}{cos^2x}[/TEX]
 
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