SAT Math Multiple Choice Question 992: Answer and Explanation

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Question: 992


In the triangle above, tan. What is cos x?

  • A.
  • B.
  • C.
  • D.

Correct Answer: D



Difficulty: Medium

Category: Additional Topics in Math / Trigonometry

Strategic Advice: Mark up the triangle with what you know. Then use SOH CAH TOA: .

Getting to the Answer: You're given that , so label the side that is opposite angle x as , and label the side that is adjacent to angle x (the leg that touches it) 3:

Next, use the Pythagorean theorem to find the length of the hypotenuse:

Finally, use the definition of cosine: , which is (D).

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