Question

Consider this right triangle Determine whether each equation is correct.

Answer 1

hello

the question given is a right angle triangle and we have to use trigonometric ratios to solve this

SOHCAHTOA

$\begin{gathered} \text{SOH}=\sin \theta=\frac{opposite}{hypothenus} \\ \text{CAH}=\cos \theta=\frac{adjacent}{hypoth\nu ens} \\ \text{TOA}=\tan \theta=\frac{opposite}{adjacent} \end{gathered}$

now we can bring in the triangle and see

now we can take each trigonometric ratio and check which one is incorrect

$\begin{gathered} \sin A=\frac{\text{opp}}{\text{hyp}} \\ \sin A=\frac{8}{10}=\frac{4}{5} \end{gathered}$$\text{cosA}=\frac{\text{adj}}{\text{hyp}}=\frac{8}{10}=\frac{4}{5}$$\sin B=\frac{opp}{hyp}=\frac{6}{10}=\frac{3}{5}$$\cos B=\frac{\text{adj}}{\text{hyp}}=\frac{8}{10}=\frac{4}{5}$

from the calculations above, option A is correct

option B is incorrect

option C is incorrect

option D is correct