Question

cosecA=12\5 ho to
cosA and cotA

Answer 1

Answer:

$\sin \: a = 1 \div \cos \: a$

$\sin \: a = 1 \div \frac{12}{5}$

$sin \: a = \frac{5}{12}$

$cos \: a = \sqrt{1 - {sin}^{2} } a$

$cos \: a = \sqrt{1 - ({5 \div 12)}^{2} }$

$= \sqrt{1 - \frac{ {5}^{2} }{{12}^{2} } }$

$= \sqrt{1 - \frac{25}{144} }$

$= \sqrt{ \frac{144 - 25}{144} }$

$= \sqrt{ \frac{119}{144} }$

$cos \: a = \frac{ \sqrt{119} }{12}$

$cot \: a = \frac{cos}{sin}$

$cot \: a = \frac{ \sqrt{119} }{12} \div \frac{5}{12}$

$= \frac{ \sqrt{119} }{12} \times \frac{12}{5}$

$cot \: a \: = \frac{ \sqrt{119} }{5}$