Answer:
1 → D
2 → A
3 → B
4 → C
Step-by-step explanation:
You need to remember that:
[tex]cos\alpha=\frac{adjacent}{hypotenuse}\\\\sin\alpha=\frac{opposite}{hypotenuse}\\\\tan\alpha=\frac{opposite}{adjacent}[/tex]
Then:
-For angle B, you can identify in the figure that:
[tex]opposite=b\\adjacent=c\\hypotenuse=a[/tex]
Then, you can substitute values and get:
[tex]cosB=\frac{c}{a}[/tex]
[tex]sinB=\frac{b}{a}[/tex]
[tex]tanB=\frac{b}{c}[/tex]
- For angle C, you can identify in the figure that:
[tex]opposite=c\\adjacent=b[/tex]
Therefore, substituting values, you get that:
[tex]tanC=\frac{c}{b}[/tex]
