Question #e6ede Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer P dilip_k Mar 16, 2017 #sin110+cos70*tan190# #=sin(90+20)+cos(90-20)*tan(180+10)# #=cos20+sin20*tan10# #=2cos^2 10-1+2sin10cancelcos10*sin10/cancelcos10# #=2cos^2 10-1+2sin^210# #=2(cos^2 10+sin^2 10)-1# #=2*1-1=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 1860 views around the world You can reuse this answer Creative Commons License