SAT Math Multiple Choice Question 993: Answer and Explanation

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Question: 993

13. If, then what is tan t?

  • A.
  • B.
  • C.
  • D. 3

Correct Answer: D



Difficulty: Medium

Category: Additional Topics in Math / Trigonometry

Strategic Advice: A useful trig property to know is that.

Getting to the Answer: Given the ratio, it follows that taking the reciprocal results in. Thus, if, then. Again, taking the reciprocal yields tan a = 3, choice (D).

If you didn't know the property, you could also arrive at the answer by using SOH CAH TOA:

Because, it follows from the above that tan a is the reciprocal of.

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