[Toán 11] Giải phương trình lượng giác

L

lovelycat_handoi95

Đk:....
[TEX]tanx+2tan2x+4tan4x+8tan8x+16cot16x=tan3x \\ \Leftrightarrow cotx-tanx-2tan2x-4tan4x-8tan8x-16cot16x=cotx-tan3x \\ \Leftrightarrow \frac{cos^2x-sin^2x}{sinxcosx}-2tan2x-4tan4x-8tan8x-16cot16x=cotx-tan3x \\ \Leftrightarrow 2cot2x-2tan2x-4tan4x-8tan8x-16cot16x=cotx-tan3x \\ \Leftrightarrow 16cot16x-16cot16x=cotx-tan3x\\ \Leftrightarrow cotx=tan3x [/TEX]
 
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