chứng minh (1-cos(x))/(1+cos(x))=(cot(x)-csc(x))^2

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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chứng minh 1−sin(x)1+sin(x) =(sec(x)−tan(x))²

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tan(x)−cot(x)tan(x)+cot(x) =2sin²(x)−1

Thao tác bên trái

tan(x)−cot(x)tan(x)+cot(x)

Biểu diễn dưới dạng sin, cos

=−cos²(x)+sin²(x)cos²(x)+sin²(x)

Viết lại bằng cách sử dụng hằng đẳng thức lượng giác

=−1+2sin²(x)

=2sin²(x)−1

Chúng tôi đã cho thấy rằng hai bên có thể có cùng một dạng

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+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
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chứng minh (1-cos(x))/(1+cos(x))=(cot(x)-csc(x))^2

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