If tanh(x) = 4/5, how do you find the values of the other hyperbolic functions at x? Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer Shwetank Mauria · NickTheTurtle Nov 20, 2017 #sinhx=4/3#, #coshx=5/3#, #tanhx=4/5# #cothx=5/4#, #sechx=3/5#, #cothx=5/4# Explanation: As #tanh^2x+sech^2x=1# and #tanhx=4/5# hence #sechx=sqrt(1-(4/5)^2)=3/5# and #coshx=1/sechx=5/3# #cothx=1/tanhx=5/4# #sinhx=tanhx*coshx=4/5*5/3=4/3# #cschx=1/sinhx=3/4# 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 23513 views around the world You can reuse this answer Creative Commons License