Question

Find the ratios for cos A and sin B.A543Not drawn to scalecos A =sin B:B

Answer 1

Answer

cos A = 4/5

sin B = 4/5

Step-by-step explanation

Cosine formula

$\cos(angle)=\frac{adjacent\text{ side}}{hypotenuse}$

Considering angle A, the adjacent side is AC and the hypotenuse of the triangle is AB, then:

$\begin{gathered} \cos(A)=\frac{AC}{AB} \\ \cos(A)=\frac{4}{5} \end{gathered}$

Sine formula

$\sin(angle)=\frac{opposite\text{ side}}{hypotenuse}$

Considering angle B, the opposite side is AC and the hypotenuse of the triangle is AB, then:

$\begin{gathered} sin(B)=\frac{AC}{AB} \\ s\imaginaryI n(B)=\frac{4}{5} \end{gathered}$