How do you find the values of the six trigonometric functions given #tantheta# is undefined and #pi<=theta<=2pi#? Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer Monzur R. May 22, 2017 See below Explanation: #tantheta="undefined"# and #pi <= theta <= 2pi# #tantheta=sintheta/costheta# Since #tantheta# is undefined, #costheta=0#. Therefore #theta=3/2pi#. #sin(theta)=sin(3/2pi)=-1# #csc(theta)=1/sintheta=-1# #sec(theta)=1/costheta="undefined"# #cot(theta)=costheta/sintheta=0# 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 23536 views around the world You can reuse this answer Creative Commons License