Question

Given: $\cos A=0.6$; find all other trigonometrical ratios for angle $A$.

Answer 1

We have,

$\begin{array}{c}\cos A=0.6h^2=p^2+b^2\\ \cos A=\frac{0.6}{10}=\frac{3}{5}{5}^2=p^2+3^2\\ \cos A=\frac{3}{5}=\frac{b}{h}25=p^2+9\end{array}$

$\begin{array}{c}\sin A=\frac{p}{h}=\frac{4}{5}\\ \tan A=\frac{p}{b}=\frac{4}{3}\\ \cos ecA=\frac{h}{p}=\frac{5}{4}\end{array}$

$\begin{array}{c}\cos ecA=\frac{h}{p}=\frac{5}{4}\\ secA=\frac{h}{b}=\frac{5}{3}\\ \cot A=\frac{b}{p}=\frac{3}{4}\end{array}$