Question

Find the equation of the tangent line to the gven curve at the given point
y=2sinx at (pi/6, 1)

Answer 1

Am i suppose to use unit circle..?

Answer 2

Tangent line at ( pi/6, 1) is:
y - 1 = m (x - pi/6 )
m = f'( pi /6)

Can you do it?

Answer 3

do i u use the unit circle for pi/6?
i tried it without using unit circle, and get some really weird answer

Answer 4

f`(number) = 0 ?

Answer 5

f' for this equation would be, if I'm not mistaken 2cos(x)

Answer 6

yea i think f' is 2cos (x) too

Answer 7

as for your question if you use the unit circle. yea; I do believe you use the value of cos at pi/6

Answer 8

then i will get critical numbers using unit circle
what do i do with it?

Answer 9

f' (x) = 2 cosx
-> f' ( pi/6 ) = .....

Answer 10

Chlorophyll is right, use the equation he gave above and plug in what you know already. That should give you the answer.

y-1=m(x-pi/6)

where m=2cos(x)