Question

In Triangle ABC, which trigonometric ratio has the value a/c?

A) tan A
B) cos A
C) tan C
D) cos C
E) sin C

Answer 1

we know that

In the right triangle ABC

`sin(A)=(BC)/(AC)= (a)/(b)`

`cos(A)=(AB)/(AC)= (c)/(b)`

`tan(A)=(BC)/(AB)= (a)/(c)`

`sin(C)=(AB)/(AC)= (c)/(b)`

`cos(C)=(BC)/(AC)= (a)/(b)`

`tan(C)=(AB)/(BC)= (c)/(a)`

therefore

the answer is the option A

`tan(A)`

Answer 2

The answer would be A) tan A, because of SOHCAHTOA (if you don't know this, it means SOH) sin=opposite/hypotenuse, CAH) cos=adjacent/hypotenuse, and TOA) tan=opposite/adjacent).