How do you find the values of the six trigonometric functions given #sintheta=0# and #sectheta=-1#? Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer Gerardina C. Dec 26, 2016 #sintheta=0; costheta=-1; tan theta=0; cottheta=oo; sectheta=-1;csctheta=oo# Explanation: Since #cos theta=1/sectheta=1/-1=-1#, and #sintheta=0#, then #tan theta=sintheta/costheta=0/-1=0# #cot theta=1/tantheta=oo# #csctheta=1/sintheta=oo# 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 7827 views around the world You can reuse this answer Creative Commons License