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In triangle ABC, right-angled at B, AB = 8 cm and AC = 17 cm. The value of tanC is:

Competition practiceTrigonometry
  • A15/8
  • B8/17
  • C8/15
  • D15/17

Step-by-Step Solution

AC faces the right angle, so it is the hypotenuse and BC = √(289 − 64) = 15 cm. At vertex C the opposite side is AB = 8 and the adjacent side is BC = 15, so tanC = 8/15. Turning the ratio over gives 15/8, which is tanA (equivalently cotC), while 8/17 = sinC and 15/17 = cosC — both use the hypotenuse, which a tangent never does.
Answer: C) 8/15

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