Question

Find the equation of the tangent line to the curve y=6sinx at the point (π/6,3

Answer 1

Hello:
f(x) =6sin(x)
f'(x) = 6 cos(x)

the equation of the tangent line is : y=f'(π/6)(x-π/6)+f(π/6)
f'(π/6)=6cos(π/6)=6×(√3/2)=3√3
f(π/6) =3
the equation is :  y = 3√3(x-π/6)+3