SAT Math Multiple Choice Question 237: Answer and Explanation

Home > SAT Test > SAT Math Multiple Choice Practice Tests

Test Information

Question: 237

12. If csc θ = 1.66, then tan θ =

  • A. 0.6
  • B. 0.76
  • C. 1.32
  • D. 1.76

Correct Answer: B

Explanation:

B Cosecant is or . Make a right triangle and plug in for the side lengths. Because , make the hypotenuse 1.66 and the side opposite the angle measure θ equal to 1. Use the Pythagorean theorem to solve for the missing side: 12 + x2 = 1.662; 1 + x2 = 2.7556; x2 = 1.7556; x ≈1.32. Make this the other leg of the triangle. To find tan θ, use : , which is (B).

Previous       Next