If csc θ = 1.66, then tan θ =
A. 0.6
B. 0.76
C. 1.32
D. 1.76
Answer:B
If csc θ = 1.66, then tan θ =
A. 0.6 B. 0.76 C. 1.32 D. 1.76
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).