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

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

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tangent of y=-4cos(x),\at x= pi/2

tangent of

y = - 4 cos (x), at x = \frac{π}{2}

y = 4 x - 2 π

Solution steps

Find the tangent point:

(\frac{π}{2}, 0)

Find the slope of

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

Find the line with slope m=

4

and passing through

(\frac{π}{2}, 0) : y = 4 x - 2 π

y = 4 x - 2 π

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