Given #tantheta# is undefined, #sintheta>0# to find the remaining trigonometric function? Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer Nghi N Jul 14, 2017 On the trig unit circle, When #t = pi/2# --> sin t = 1 and cos t = 0 #tan t = sin t/(cos t) = 1/0 =# undefined #cot t = cot (pi/2) = 0# #sec t = 1/(cos t) =# undefined #csc t = 1/(sin) = 1/1 = 1# 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 7981 views around the world You can reuse this answer Creative Commons License