If sec(t) = 3, how do you find the exact value of #csc(90 - t )#? Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer Sahar Mulla ❤ Mar 28, 2018 #sec(t) = 3# #=> cos(t) = 1/3# now, we know, #sin(90-x) = cosx# #sin(90-t) = cos(t) = 1/3# #csc(90-t) = 1/sin(90-t) = 3# 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 6760 views around the world You can reuse this answer Creative Commons License