Question

find the value of O for which Son O underoot three coso
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Answer 1

QUESTION:

correct question is :

$\sin( \alpha ) = \sqrt{3} \times \cos( \alpha )$

we have to find

$\alpha$

ANSWER:

$\sin( \alpha ) = \sqrt{3} \times \cos( \alpha ) \\ \\ \\ \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \sqrt{3}$

we know that;

$\frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \tan( \alpha )$

or

$\tan(60) = \sqrt{3}$

hence,

$\alpha = 60$

FINAL ANSWER:

$\alpha = 60$

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