What is the tangent of y=2sin(x),(pi/6 ,1) ?

The tangent of y=2sin(x),(pi/6 ,1) is y=sqrt(3)x+1-pi/(2sqrt(3))

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tangent of y=2sin(x),(pi/6 ,1)

tangent of

y = 2 sin (x), (\frac{π}{6}, 1)

y = 3 x + 1 - \frac{π}{2 3}

Solution steps

Find the slope of

y = 2 sin (x) : \frac{d y}{d x} = 2 cos (x)

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = 3

Find the line with slope m=

3

and passing through

(\frac{π}{6}, 1) : y = 3 x + 1 - \frac{π}{2 3}

y = 3 x + 1 - \frac{π}{2 3}

What is the tangent of y=2sin(x),(pi/6 ,1) ?
The tangent of y=2sin(x),(pi/6 ,1) is y=sqrt(3)x+1-pi/(2sqrt(3))