Question

if cot A=1/tanA?justify ur answer​

Answer 1

tan A= sin /cos = opposite/hypothenus/adjacent/hypotenus

=tan A= opp/adjacent

whereas

cot A =cos / sin

cotA=adjacent/opposite

therefore

cotA=1/tan

Answer 2

$\huge \underline{\sf \mathfrak{ \red{to \: \: \: prove}}} : \\ \\ \\ \cot \theta = \frac{1}{ \tan \: θ}$

$\huge \underline{ \underline{ \mathfrak{ \orange{proof }: }}}$

as we know that ,

$\large \boxed{ \tanθ = \frac{ \sinθ}{cos θ}} \sf and \boxed{ \cotθ = \frac{ \cosθ}{ \sinθ} }$

so ,

$\huge \frac{ \cosθ}{ \sinθ} = \frac{1}{( \frac{ \sinθ}{ \cosθ} )}$

$\huge \sf \frac{ \cosθ}{ \sinθ} = \frac{ \cosθ}{sin θ}$

$\huge \therefore \mathfrak{hence \: \: \: \: proved}$