Question

Plz HELP !!!!! I would appreciate it!!!

Answer 1

Answer/Step-by-step explanation:

a. The sides of ∆ABC can be labelled as follows, taking θ as the reference point.

Adjacent = side AB

Opposite = side BC

Hypotenuse = side AC

b. I. "<B is an acute angle" => FALSE. It is a right angle (90°)

II. "The side opposite to <C is BC" => FALSE. The side opposite to <C is AB.

III. The side adjacent to <A is AB => TRUE

IV. The side opposite to <B is not the longest. => FALSE. It is the hypotenuse and the longest side.

c. Cos θ = $\frac{adjacent}{hypotenuse} = \frac{AB}{AC}$

Tan θ = $\frac{opposite}{adjacent} = \frac{BC}{AB}$

d. Sin C = $\frac{opp}{hypo} = \frac{AB}{AC}$

Cos C = $\frac{adjacent}{hypotenuse} = \frac{BC}{AC}$

Tan C = $\frac{opp}{adjacent} = \frac{AB}{BC}$