Question

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Answer 1

Answer: C

Explanation:

A. is wrong sin B=opp/hyp = 12/13 not 5/13

B. is wrong cosB=adj/hyp= 12/13 not 5/13

C true, tan B = opp/adj = 12/5

D is wrong tan A = 5/12 not 12/13

Answer 2

tanB =
`(12)/(5)`

Explanation:

sinB =
`(opposite)/(hypotenuse)` =
`(AC)/(AB)` =
`(12)/(13)` ≠
`(5)/(13)`

cosA =
`(adjacent)/(hypotenuse)` =
`(AC)/(AB)` =
`(12)/(13)` ≠
`(5)/(13)`

tanB =
`(opposite)/(adjacent)` =
`(AC)/(BC)` =
`(12)/(5)` ← correct

tanA =
`(opposite)/(adjacent)` =
`(BC)/(AC)` =
`(5)/(12)` ≠
`(12)/(13)`