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)

Compute the slope of

y = 3 - 2 cos (x)

x = \frac{π}{2} : 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

\int \frac{1}{12} ln^{2} (3 x + 1) d x

\int \frac{1}{2 + 2 x ^{2}} d x

1 - \frac{1}{t}

\int \frac{8}{8 + e ^{x}} d x

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