8 x 8 x 2 x 4 x 8 is equal to: - Vidyadip

MCQ

$8\sin\frac{\text{x}}{8}\cos\frac{\text{x}}{2}\cos\frac{\text{x}}{4}\cos\frac{\text{x}}{8}$ is equal to:

A
$8\cos\text{x}$
B
$\cos\text{x}$
C
$8\sin\text{x}$
✓
$\sin\text{x}$

✓

Answer

Correct option: D.

$\sin\text{x}$

we have,
$=8\sin\text{x}8\cos\text{x}2\cos\text{x}4\cos\text{x}8$
$=4\times2\sin\text{x}8\cos\text{x}2\cos\text{x}2$
$=4\times\sin\text{x}\cos\text{x}2\cos\text{x}4$
$=2\times2\sin\text{x}4\cos\text{x}4\cos\text{x}2$
$=2\times\sin2\cos\text{x}2$
$=\sin\text{x}$

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