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

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

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

tangent of

cos (x), at x = \frac{π}{2}

y = - x + \frac{π}{2}

Solution steps

Find the tangent point:

(\frac{π}{2}, 0)

Find the slope of

y = cos (x) : \frac{d y}{d x} = - 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 = - 1

Find the line with slope m=

- 1

and passing through

(\frac{π}{2}, 0) : y = - x + \frac{π}{2}

y = - x + \frac{π}{2}

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