What is the tangent of y=-2sin(x),\at x=(3pi)/4 ?

The tangent of y=-2sin(x),\at x=(3pi)/4 is y=sqrt(2)x-sqrt(2)-(3pi)/(2sqrt(2))

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tangent of y=-2sin(x),\at x=(3pi)/4

tangent of

y = - 2 sin (x), at x = \frac{3 π}{4}

y = 2 x - 2 - \frac{3 π}{2 2}

Solution steps

Find the tangent point:

(\frac{3 π}{4}, - 2)

Find the slope of

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

Find the line with slope m=

2

and passing through

(\frac{3 π}{4}, - 2) : y = 2 x - 2 - \frac{3 π}{2 2}

y = 2 x - 2 - \frac{3 π}{2 2}

What is the tangent of y=-2sin(x),\at x=(3pi)/4 ?
The tangent of y=-2sin(x),\at x=(3pi)/4 is y=sqrt(2)x-sqrt(2)-(3pi)/(2sqrt(2))