What is the tangent of y=4tan(x),\at x= pi/3 ?

The tangent of y=4tan(x),\at x= pi/3 is y=16x+4sqrt(3)-(16pi)/3

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tangent of y=4tan(x),\at x= pi/3

tangent of

y = 4 tan (x), at x = \frac{π}{3}

y = 16 x + 43 - \frac{16 π}{3}

Solution steps

Find the tangent point:

(\frac{π}{3}, 43)

Find the slope of

y = 4 tan (x) : \frac{d y}{d x} = 4 sec^{2} (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 = 16

Find the line with slope m=

16

and passing through

(\frac{π}{3}, 43) : y = 16 x + 43 - \frac{16 π}{3}

y = 16 x + 43 - \frac{16 π}{3}

What is the tangent of y=4tan(x),\at x= pi/3 ?
The tangent of y=4tan(x),\at x= pi/3 is y=16x+4sqrt(3)-(16pi)/3