which function would you use to find $m\\angle d$?\na. $\\sin^{-1}\\frac{f}{e}$\nb. $\\sin\\frac{f}{e}$\nc…

which function would you use to find $m\\angle d$?\na. $\\sin^{-1}\\frac{f}{e}$\nb. $\\sin\\frac{f}{e}$\nc. $\\tan^{-1}\\frac{f}{e}$\nd. $\\cos^{-1}\\frac{f}{e}$

which function would you use to find $m\\angle d$?\na. $\\sin^{-1}\\frac{f}{e}$\nb. $\\sin\\frac{f}{e}$\nc. $\\tan^{-1}\\frac{f}{e}$\nd. $\\cos^{-1}\\frac{f}{e}$

Answer

Explanation:

Step1: Identify sides for ∠D

For $\angle D$, opposite side = $f$, hypotenuse = $e$.

Step2: Match to trigonometric function

Sine of an angle is $\frac{\text{opposite}}{\text{hypotenuse}}$, so $\sin(\angle D) = \frac{f}{e}$. To find $\angle D$, use inverse sine: $\angle D = \sin^{-1}\left(\frac{f}{e}\right)$.

Answer:

A. $\sin^{-1}\frac{f}{e}$