Question #15e37 Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer P dilip_k Dec 12, 2016 #1-sin^2y/(1+cosy)+(1+cos y)/sin y-sin y/(1-cos y) # #=1-(1-cos^2y)/(1+cosy)+((1+cos y)(1-cosy)-sin^2y)/(sin y(1-cos y)) # #=1-1+cosy+((1-cos^2y)-sin^2y)/(sin y(1-cos y)) # #=cosy+(sin^2y-sin^2y)/(sin y(1-cos y)) # #=cosy# 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 1536 views around the world You can reuse this answer Creative Commons License