What is the equation of the tangent line of #f(x)=cosx-e^x/sinx # at #x=pi/3#? Calculus Derivatives Tangent Line to a Curve 1 Answer Sonnhard Jun 7, 2018 #y=(-sqrt(3)/2+2/3*e^(pi/3)-2e^(pi/3))/sqrt(3)x+1/2-2e^(pi/3)/sqrt(3)-1/3*(-sqrt(3)/2+2/3*e^(pi/3)-2e^(pi/3)/sqrt(3))*pi# Explanation: We get #f(pi/3)=1/2-2e^(pi/3)/sqrt(3)# #f'(pi/3)=-sqrt(3)/2+2e^(pi/3)/3-2e^(pi/3)/sqrt(3)# Answer link Related questions How do you find the equation of a tangent line to a curve? How do you find the slope of the tangent line to a curve at a point? How do you find the tangent line to the curve #y=x^3-9x# at the point where #x=1#? How do you know if a line is tangent to a curve? How do you show a line is a tangent to a curve? How do you find the Tangent line to a curve by implicit differentiation? What is the slope of a line tangent to the curve #3y^2-2x^2=1#? How does tangent slope relate to the slope of a line? What is the slope of a horizontal tangent line? How do you find the slope of a tangent line using secant lines? See all questions in Tangent Line to a Curve Impact of this question 1139 views around the world You can reuse this answer Creative Commons License