Question

Select the true statement about triangle abc?

Answer 1

`Sin(opposite)/(hypotenuse)Cos(adjacent)/(hypotenuse) Tan(opposite)/(adjacent)`

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 2

ANSWER

The true statement is that,


`\cos(A) = \sin(C)`


Step-by-step explanation

∆ABC is a right angle triangle, with


`hypotensuse = 13 \: units`

The side adjacent to angle A is

`12 \: \: units`


The cosine ratio is given by

`\cos(A) = (length \: of \: adjacent \: side)/(hypotenuse)`


This implies that,


`\cos(A) = (12)/(13)`

The length of the side opposite to angle C is

`12 \: units`


The sine ratio is,


`\sin(C) = (length \: of \: opposite \: side)/(hypotenuse)`


`\sin(C) = (12)/(13)`


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



`\cos(A) = \sin(C)`
The correct answer is option A.