Question #3157d Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer sankarankalyanam Feb 24, 2018 #tan theta = - (1/3) # Explanation: Given #- cos^2 theta = 3 sin theta * cos theta# #- cos theta * cancel(cos theta )= 3 sin theta * cancel (cos theta)# #- (cos theta/ sin theta) = 3# #cos theta / sin theta = -3# #sin theta / cos theta = -(1/3)# #tan theta = - (1/3) # 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 1134 views around the world You can reuse this answer Creative Commons License