Question

prove that
$cos tan = \sin$
plz help​

Answer 1

Correct question -

$\sf \: \cos( \theta) \tan( \theta ) = \sin( \theta)$

Consider LHS,

$\sf \implies \cos( \theta) \cdot \: \tan( \theta)$

$\sf \: Use \: Indentity : \tan(θ) =\dfrac{\sin(θ)}{\cos(θ)}$

$\sf \implies \: \cos( \theta) \times \dfrac{ \sin( \theta) }{ \cos( \theta) }$

$\sf \: Reduce \: \cos (θ)$

$\sf \implies \: \cancel{\cos( \theta) } \times \dfrac{ \sin( \theta) } { \cancel{\cos( \theta)}}$

$\sf \implies \: \sin( \theta)$

Therefore ,LHS = RHS.

Hence , proved.