Question #873d9 Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer P dilip_k Apr 8, 2017 # cot(x) + cot(180°−x)+ tan (90°+x)# .#= cot(x) - cot(x)- cot (x)=-cotx# 3 #sec^2(α− (3π)/2 )− cos((3π)/2 +α)csc(π−α)# #=sec^2(-( (3π)/2-alpha ))− cos((3π)/2 +α)csc(π−α)# #=sec^2( (3π)/2-alpha )− cos((3π)/2 +α)csc(π−α)# #=-cosec^2( alpha )−sin(α)csc(α)# #=-cosec^2( alpha )−1# 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 1293 views around the world You can reuse this answer Creative Commons License