What is the tangent of 4sin(x),\at x= pi/2 ?

The tangent of 4sin(x),\at x= pi/2 is y=4

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tangent of 4sin(x),\at x= pi/2

tangent of

4 sin (x), at x = \frac{π}{2}

y = 4

Solution steps

Find the tangent point:

(\frac{π}{2}, 4)

Find the slope of

y = 4 sin (x) : \frac{d y}{d x} = 4 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 = 0

Find the line with slope m=

0

and passing through

(\frac{π}{2}, 4) : y = 4

y = 4

What is the tangent of 4sin(x),\at x= pi/2 ?
The tangent of 4sin(x),\at x= pi/2 is y=4