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

The tangent of f(x)=sin(sin(x)),\at x=(4pi) is y=x-4pi

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

tangent of

f (x) = sin (sin (x)), at x = (4 π)

y = x - 4 π

Solution steps

Find the tangent point:

(4 π, sin (0))

Find the slope of

f (x) = sin (sin (x)) : \frac{df ( x )}{d x} = cos (sin (x)) 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 = 1

Find the line with slope m=

1

and passing through

(4 π, sin (0)) : y = x - 4 π

y = x - 4 π

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