How do you simplify cot θ/cos θ ? Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer VNVDVI · Stefan V. Feb 20, 2018 #csc(θ)# Explanation: Recall that #cot θ=cos(θ)/sin(θ)# Rewrite your expression: #cos(θ)/[sin(θ)cos(θ)]# #cos(θ)# cancels out, and we're left with: #1/sin(θ)# #1/sin(θ)=csc(θ)# Answer link Related questions What does it mean to find the sign of a trigonometric function and how do you find it? What are the reciprocal identities of trigonometric functions? What are the quotient identities for a trigonometric functions? What are the cofunction identities and reflection properties for trigonometric functions? What is the pythagorean identity? If #sec theta = 4#, how do you use the reciprocal identity to find #cos theta#? How do you find the domain and range of sine, cosine, and tangent? What quadrant does #cot 325^@# lie in and what is the sign? How do you use use quotient identities to explain why the tangent and cotangent function have... How do you show that #1+tan^2 theta = sec ^2 theta#? See all questions in Relating Trigonometric Functions Impact of this question 17832 views around the world You can reuse this answer Creative Commons License