Given #tantheta=2, sintheta<0# to find the remaining trigonometric function? Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer A. S. Adikesavan Jan 18, 2017 See explanation. Explanation: As #tan theta = 2 > 0#, sine and cosine have the same sign. So, #(sin theta, cos theta) = +-1/sqrt5(2, 1).# # (csc theta, sec theta)=(1/sin theta, 1/ cos theta)= +- sqrt5/2(1, 2)# #cot theta = 1/tan theta=1/2#. 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 6926 views around the world You can reuse this answer Creative Commons License