[tex] \frac{cos4x - cos8x}{sin6x} [/tex]


[tex] \frac{cos4x - cos8x}{sin6x} [/tex]

Jawab:

bentuk sederhana dari

[tex]\sf \dfrac{cos~4x - cos~ 8x}{sin~ 6x}=[/tex]

[tex]\sf = \dfrac{- 2 sin \frac{1}{2}(4x+8x) sin \frac{1}{2} (4x-8x)}{sin~ 6x}[/tex]

[tex]\rm = \dfrac{- 2 sin~6x ~.~ sin (-2x)}{sin~ 6x}[/tex]

= - 2 sin (-2x)

=  2 sin (2x)

= 2 sin x cos x

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