Find the linearization L(x) of the function at a. f(x) = sin(x), a =p/6

Question

Please help me 

Answer 1

linearization at a = f(a) + f'(a)(x-a)

for f(x) - sin(x), f'(x) = cos(x)

assuming a = π/6 = 30°, then

linearization at a = sin(a) + cos(a)(x-a)

= sin(π/6) + cos(π/6)(x-a)

= 1/2 + √3/2(x-a)