What is the tangent of 3-2cos(x),\at x= pi/2 ?

The tangent of 3-2cos(x),\at x= pi/2 is y=2x+3-pi

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tangent of 3-2cos(x),\at x= pi/2

tangent of

3 - 2 cos (x), at x = \frac{π}{2}

y = 2 x + 3 - π

Solution steps

Find the tangent point:

(\frac{π}{2}, 3)

Find the slope of

y = 3 - 2 cos (x) : \frac{d y}{d x} = 2 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 = 2

Find the line with slope m=

2

and passing through

(\frac{π}{2}, 3) : y = 2 x + 3 - π

y = 2 x + 3 - π

What is the tangent of 3-2cos(x),\at x= pi/2 ?
The tangent of 3-2cos(x),\at x= pi/2 is y=2x+3-pi