Given #sin(-x)=-1/3, tanx=-sqrt2/4# to find the remaining trigonometric function? Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer Nghi N. Feb 4, 2017 #sin (-x) = - 1/3 = - sin x# --> #sin x = 1/3# #cos x = tan x/(sin x) = (-sqrt2/4)(3/1) = - (3sqrt2)/4# #cot x = - 4/sqrt2 = - (4sqrt2)/2 = - 2sqrt2# #sec x = 1/(cos) = - 4/(3sqrt2) = - (4sqrt2)/6 = - (2sqrt2)/3# #csc x = 1/(sin) = 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 4394 views around the world You can reuse this answer Creative Commons License