How do you simplify the expression #cottheta/csctheta#? Trigonometry Trigonometric Identities and Equations Fundamental Identities 1 Answer Gerardina C. Aug 9, 2016 #cos theta# Explanation: Since #cot theta=cos theta/sin theta# and #csc theta= 1/sin theta#, then #cot theta/csc theta = (cos theta/cancelsin theta)/(1/cancelsin theta)=cos theta and sin theta!=0# Answer link Related questions How do you use the fundamental trigonometric identities to determine the simplified form of the... How do you apply the fundamental identities to values of #theta# and show that they are true? How do you use the fundamental identities to prove other identities? What are even and odd functions? Is sine, cosine, tangent functions odd or even? How do you simplify #sec xcos (frac{\pi}{2} - x )#? If #csc z = \frac{17}{8}# and #cos z= - \frac{15}{17}#, then how do you find #cot z#? How do you simplify #\frac{\sin^4 \theta - \cos^4 \theta}{\sin^2 \theta - \cos^2 \theta} # using... How do you prove that tangent is an odd function? How do you prove that #sec(pi/3)tan(pi/3)=2sqrt(3)#? See all questions in Fundamental Identities Impact of this question 3192 views around the world You can reuse this answer Creative Commons License