Given #tanx=5/12, secx=13/12# to find the remaining trigonometric function? Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer Nghi N. Mar 27, 2017 #sec x = 1/(cos x) = 13/12# --> #cos x = 12/13# #tan x = 5/12# #sin x = tan x.cos x = (5/12)(12/13) = 5/13# #cot x = 1/(tan x) = 12/5# #csc x = 1/(sin x) = 13/5# 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 3519 views around the world You can reuse this answer Creative Commons License