Question

relative to the angle c, what is side ac?
opposite side
adjacent side
hypotenuse
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relative to the angle c, what is side ab?
opposite side
adjacent side
hypotenuse
submit
what is the trig function that relates ab and ac?
sin 40°
cos 40°
tan 40°

Explanation:

First Question: Relative to angle C, what is side AC?

In a right triangle (assuming triangle ABC is right - angled, likely at A or B), the adjacent side to an angle is the side that forms the angle along with the hypotenuse. For angle C, side AC is one of the sides that forms angle C (along with the hypotenuse, if we consider the right - triangle context). The opposite side would be the side not forming the angle, and the hypotenuse is the longest side opposite the right angle. So, relative to angle C, AC is the adjacent side.

In a right - triangle (assuming), the opposite side to an angle is the side that does not form the angle. For angle C, side AB does not form angle C. The adjacent side forms the angle, and the hypotenuse is the longest side. So, relative to angle C, AB is the opposite side.

We know that in trigonometry, for an angle $\theta$ in a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, AB is the opposite side to angle C and AC is the adjacent side to angle C. So, if we consider angle C (let's say $\theta = 40^{\circ}$), $\tan40^{\circ}=\frac{AB}{AC}$, which means the trigonometric function that relates AB and AC is $\tan40^{\circ}$.

Answer:

B. adjacent side

Second Question: Relative to angle C, what is side AB?