Question

Name the sine, cosine, and tangent of angle a in the figure below

Answer 1

check the picture below.

now, we can simplify all those to


`\bf cos(A)=\cfrac{24}{12√(5)}\implies \cfrac{2}{√(5)}\quad \stackrel{rationalizing~it}{\implies }\quad \cfrac{2√(5)}{5} \\\\\\ sin(A)=\cfrac{12}{12√(5)}\implies \cfrac{1}{√(5)}\quad \stackrel{rationalizing~it}{\implies }\quad\cfrac{√(5)}{5} \\\\\\ tan(A)=\cfrac{12}{24}\implies \cfrac{1}{2}`