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 1289 views around the world You can reuse this answer Creative Commons License