Question #58265 Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer Barney V. Mar 18, 2017 #tanx=(opposite)/(adjacent)=5# Explanation: #color(red)(Cotx=0.2# , #color(red)(tanx?# In a right #triangle# there is a slope side-hypotenuse, opposite side and adjacent side. #:.cotx=0.2=1/5# #:.cotx=(adjacent)/(opposite)# ,#adjacent=1# #opposite=5# #:.tanx=(opposite)/(adjacent)# #:.tanx=5/1# #:.color(red)(tanx=5# on calculator: #:.arctan(tan^-1)0.2=11.30993247°=11°18'35.7''# #:.tan11.30993247=0.199999713# #=0.2 #to the nearest 1 decimal #:.0.199999713 1/x =5.000007173= cotx# 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 1307 views around the world You can reuse this answer Creative Commons License