Question

find the value of the trigonometric ratios of cosThita=4/5​

Answer 1

$cos \theta = \frac{4}{5} \\ sin \theta = \sqrt{1 - {cos}^{2} \theta} \\ = \sqrt{1 - \frac{16}{25} } \\ = \sqrt{ \frac{9}{25} } \\ = \frac{3}{5} \\ \\ sec \theta = \frac{1}{cos \theta} = \frac{5}{4} \\ \\ cosec \theta = \frac{1}{sin \theta} = \frac{5}{3} \\ \\ tan \theta = \frac{sin \theta}{cos \theta} = \frac{ \frac{3}{5} }{ \frac{4}{5} } = \frac{3}{4} \\ \\ cot \theta = \frac{4}{3}$