Question

in ∆ ABC, riggt angled at B, AB=24 cm,BC=7 cm determine: sin C, cos C​

Answer 1

$\: \sf{ In \: ∆ ABC, }$

$\: \: \: \: \sf{ (AC)² = (AB)² + (BC)²}$

$\: \: \: \: \sf{(AC)² = (24)² + (7)²}$

$\: \: \: \: \sf{(AC)² = 576 + 49}$

$\: \: \: \: \sf{(AC)² = 625}$

$\: \: \: \: \: \: \: \: \: \sf{AC = \sqrt{625} }$

$\: \: \: \: \: \: \: \: \sf {AC = 25}$

$\: \: \: \sf{ sin \: c = \frac{ab}{ac} = \frac{24}{25}}$

$\: \: \sf{cos \: c = \frac{bc}{ac} = \frac{7}{25} }$