Question

if cos theta =12/13, show that sintheta (tantheta ) =25/156

Answer 1

Gn

$\cos(x) = \frac{12}{13}$
Therefore

$\sin(x) = \sqrt{1 - { \cos(x) }^{2} }$
ie


$\sin(x) = \frac{5}{13}$
Now

$( \sin(x)) \times ( \tan(x)) = \sin(x) \times \frac{ \sin(x) }{ \cos(x) } = \frac{5}{13} \times \frac{5}{13} \times \frac{13}{12}$
Which is equal to
$\frac{25}{156}$

Answer 2

Answer:

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