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Popular >

f(x)=1-sin(x)cos(x)

Solution

f (x) = 1 - sin (x) cos (x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : \frac{1}{2} \leq f (x) \leq \frac{3}{2}

Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (\frac{π}{4} + πn, \frac{1}{2}), Maximum (\frac{3 π}{4} + πn, \frac{3}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{1}{2}, \frac{3}{2}]

Solution steps

Periodicity of

1 - sin (x) cos (x) : π

Domain of

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

Range of

1 - sin (x) cos (x) : \frac{1}{2} \leq f (x) \leq \frac{3}{2}

Axis interception points of

1 - sin (x) cos (x) :

Y Intercepts

: (0, 1)

Asymptotes of

1 - sin (x) cos (x) :

None

Extreme Points of

1 - sin (x) cos (x) :

Minimum

(\frac{π}{4} + πn, \frac{1}{2}),

Maximum

(\frac{3 π}{4} + πn, \frac{3}{2})

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

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