<p>This question was on kaplan's practice test and I believe the answer for this on their answer key is incorrect.</p>
<p>If sin x= 1/2 and tan x = 1/sqrt 3 , then csc x=?</p>
<p>csc x = 1/sin x = 2</p>
<p>Hmm… it would have made more sense to ask for cos x or sec x, but oh well.</p>
<p>Would it not simply be 2? Sine is x/h, cosecant is h/x. If sin is 1/2, then cosecant would simply be 2/1, right? I’m not entirely sure why they told you tan(x)=1/sqrt(3). They normally only give you extra information in the science section… What did the book say the answer was?</p>
<p>The book did say 2, I got csc and sec mixed up and ended up with a different answer. Thanks for the clarification. Appreciate it.</p>
<p>Although what they said in the strategic advice was " the reciprocal functions, such as sec(theta) = 1/sin (theta), csc(theta)= 1/cos(theta) and cos (theta)= 1/tan(theta)".</p>
<p>Shouldn’t that csc(theta)=1/sin(theta) ?</p>
<p>sec(theta) = 1/cos(theta)
csc(theta)= 1/sin (theta)</p>
<p>I guess the book also slipped up, since that is a pretty easy mistake to make.</p>