Question

Select the true statement about triangle ABC.

A. cos A = cos C
B. cos A = sin C
C. cos A = sin B
D. cos A = tan C

Answer 1

B

Explanation:

cosA =
`(adjacent)/(hypotenuse)` =
`(AB)/(AC)` =
`(12)/(13)`

cosC =
`(BC)/(AC)` =
`(5)/(13)`

sinC =
`(opposite)/(hypotenuse)` =
`(AB)/(AC)` =
`(12)/(13)`

tanC =
`(opposite)/(adjacent)` =
`(AB)/(BC)` =
`(12)/(5)`

Then

cosA = sinC → B