Respuesta :

[tex]Sin\frac{opposite}{hypotenuse}Cos\frac{adjacent}{hypotenuse} Tan\frac{opposite}{adjacent}[/tex]


The hypotenuse is the longest side of the triangle. The opposite side is the side across from a point/angle. The adjacent side is the side next to the point.

At point A, AC is the hypotenuse, BC is the opposite, AB is the adjacent.


cos A = 12/13


A.) sin C = 12/13   This is the answer

B.) sin B, the opposite is 13, and the hypotenuse is 13

C.) tan C = 12/5

D.) cos C = 5/13

ANSWER

The true statement is that,

[tex] \cos(A) = \sin(C) [/tex]


EXPLANATION

∆ABC is a right angle triangle, with

[tex]hypotensuse = 13 \: units[/tex]

The side adjacent to angle A is
[tex]12 \: \: units[/tex]


The cosine ratio is given by
[tex] \cos(A) = \frac{length \: of \: adjacent \: side}{hypotenuse} [/tex]


This implies that,

[tex] \cos(A) = \frac{12}{13} [/tex]

The length of the side opposite to angle C is
[tex]12 \: units[/tex]


The sine ratio is,

[tex] \sin(C) = \frac{length \: of \: opposite \: side}{hypotenuse} [/tex]

[tex] \sin(C) = \frac{12}{13} [/tex]


We can see that the two ratios are the same therefore,


[tex] \cos(A) = \sin(C) [/tex]
The correct answer is option A.

ACCESS MORE
EDU ACCESS