If sin $\theta$ = $\frac{1}{2}$ then cot $\theta$ = ?

Question

KollegeApply · Accepted Answer

bb(sqrt(3)) Explanation: sin $\theta$ = $\frac{1}{2}$ $\Rightarrow$ (BC)/(AC) = $\frac{1}{2}$ Let BC = k. Then, AC = 2k. AB2 = (AC2 – BC2) = (4k2 – k2) = 3k2 $\therefore$ AB = sqrt(3)k. $\therefore$ cot $\theta$ = (AB)/(BC) = (sqrt(3)k)/k = sqrt(3) [Solution diagram: 470310_solution_1.png]

AChoose Your Answer