làm bài lượng giác

T

thancuc_bg

[tex] sin{\frac{7x}{2}}.cos{\frac{3x}{2}} + sin{\frac{x}{2}}.cos{\frac{5x}{2}} + sin2x.cos7x = 0 [/tex]
\Leftrightarrow[TEX]sin5x+sin2x+sin3x-sin2x+sin9x-sin5x=0[/TEX]
\Leftrightarrow[TEX]sin3x+sin9x=0[/TEX]
\Leftrightarrow[TEX]sin6x.cos3x=0[/TEX]
\Leftrightarrow[TEX]\left[x=\frac{k\pi}{6}\\x=\frac{\pi}{6}+\frac{k\pi}{3}[/TEX]
 
Last edited by a moderator:
Top Bottom