Question

QUESTION 11R₁xAyWhich equation is true?OA2sin 40°= =yOB.cos 40°O C.tan 40°:O D.sin 40° =yyx40°E

Answer 1

SOLUTION:

Case: Trigonometry

Method:

The trigonometry functions for the triangle below are:

Hence:

$\begin{gathered} sin40\degree=\frac{Opp}{Hyp} \\ sin40\degree=\frac{x}{z} \end{gathered}$

And

$\begin{gathered} cos40\degree=\frac{Adj}{Hyp} \\ cos40\degree=\frac{y}{z} \end{gathered}$

And

$\begin{gathered} tan40\degree=\frac{Opp}{Adj} \\ tan40\degree=\frac{x}{y} \end{gathered}$

Final answer: Option (C)

$tan40\degree=\frac{x}{y}$