Question

Si ∅ es agudo( menor de 90⁰) y cos∅ = 3/4, calcula sen∅ y tan∅​

Answer 1

$llamare \: \: al \: \: angulo \: \: \alpha \\ \\ \cos( \alpha ) = \frac{3}{4} \\ { \cos( \frac{3}{4} ) }^{ - 1} = \alpha \\ \alpha = 41.4096$

$\sin( \alpha ) = \sin(41.4096) \\ = 0.66 \\ = \frac{33}{50}$

$\tan( \alpha ) = \frac{ \sin( \alpha ) }{ \cos( \alpha ) } \\ = \frac{ \frac{33}{50} }{ \frac{3}{4} } \\ = \frac{44}{50} \\ \tan( \alpha ) = \frac{22}{25}$