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Popular >

f(x)=sin(x)cos(x)-cos(x)

Solution

f (x) = sin (x) cos (x) - cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - \frac{3 3}{4} \leq f (x) \leq \frac{3 3}{4}

X Intercepts : (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Saddle (\frac{π}{2} + 2 πn, 0), Maximum (\frac{7 π}{6} + 2 πn, \frac{3 3}{4}), Minimum (\frac{11 π}{6} + 2 πn, - \frac{3 3}{4})

+1

Solution steps

Periodicity of

sin (x) cos (x) - cos (x) : 2 π

Domain of

sin (x) cos (x) - cos (x) : - \infty < x < \infty

Range of

sin (x) cos (x) - cos (x) : - \frac{3 3}{4} \leq f (x) \leq \frac{3 3}{4}

Axis interception points of

sin (x) cos (x) - cos (x) :

X Intercepts

: (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

sin (x) cos (x) - cos (x) :

None

Extreme Points of

sin (x) cos (x) - cos (x) :

Saddle

(\frac{π}{2} + 2 πn, 0),

Maximum

(\frac{7 π}{6} + 2 πn, \frac{3 3}{4}),

Minimum

(\frac{11 π}{6} + 2 πn, - \frac{3 3}{4})

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Frequently Asked Questions (FAQ)

What is the f(x)=sin(x)cos(x)-cos(x) ?
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