Question

Which trigonometric expression is to equal to the ratio 12/13 in the right triangle?

A. tan X
B. cos X
C. tan W
D. cos W

Answer 1

`\Huge\boxed{D}`

Explanation:

Hello There!

To find the answer we want to find the trigonometric ratio for each answer choice

important note;

`sin =(opposite)/(hypotenuse) \\\\cos=(adjacent)/(hypotenuse) \\\\tan=(opposite)/(adjacent)`

for A,

the opposite of angle X is 12 and the adjacent of angle x is 5

so
`tanX=(12)/(5)` therefore A is not the answer

for B,

the adjacent of angle x is 5 and the hypotenuse is 13

so
`cosX=(5)/(13)` therefore B is not the answer

for C,

the opposite of angle W is 5 and the adjacent of angle W is 12

so
`tanW=(5)/(12)` therefore C is not your answer

for D,

the adjacent of angle W is 12 and the hypotenuse is 13

so
`cosW=(12)/(13)` therefore D is your answer