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

The tangent of y=sin(x)cos(x),\at x=(3pi)/4 is y=-1/2

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

tangent of

y = sin (x) cos (x), at x = \frac{3 π}{4}

y = - \frac{1}{2}

Solution steps

Find the tangent point:

(\frac{3 π}{4}, - \frac{1}{2})

Find the slope of

y = sin (x) cos (x) : \frac{d y}{d x} = cos (2 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 = 0

Find the line with slope m=

0

and passing through

(\frac{3 π}{4}, - \frac{1}{2}) : y = - \frac{1}{2}

y = - \frac{1}{2}

What is the tangent of y=sin(x)cos(x),\at x=(3pi)/4 ?
The tangent of y=sin(x)cos(x),\at x=(3pi)/4 is y=-1/2