Question #56c6f Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer P dilip_k Feb 21, 2017 tan2x-cot2x =(sin2x)/(cos2x)-(cos2x)/(sin2x) =(sin^2 2x-cos^2 2x)/(sin2xcos2x) =-(2(cos^2 2x-sin^2 2x))/(2*sin2xcos2x) =-(2cos4x)/(sin4x) =-cot4x 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 1304 views around the world You can reuse this answer Creative Commons License