Question #3add7 Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer Nghi N Apr 9, 2017 #(1/4)sin^2 2t# Explanation: #(1 - sin^2 (-t))/(1 + cot^2 (-t)) = ((1 - sin^2 t)/(1 + cot^2 t)) = # #(cos^2 t)(1/(1 + cot^2 t)) = (cos^2 t)(sin^2 t) = (1/4)sin^2 2t# 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 1367 views around the world You can reuse this answer Creative Commons License