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Popular >

y=sin(x)cos(x),0<= x<= pi

Solution

y = sin (x) cos (x), 0 \leq x \leq π

Solution

Period : π

Domain : 0 \leq x \leq π

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

X Intercepts : (0, 0), (π, 0), (\frac{π}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (0, 0), Maximum (\frac{π}{4}, \frac{1}{2}), Minimum (\frac{3 π}{4}, - \frac{1}{2}), Maximum (π, 0)

+1

Interval Notation

Domain : [0, π]

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

Solution steps

Periodicity of

sin (x) cos (x) : π

Domain of

sin (x) cos (x), 0 \leq x \leq π : 0 \leq x \leq π

Range of

sin (x) cos (x), 0 \leq x \leq π : - \frac{1}{2} \leq f (x) \leq \frac{1}{2}

Axis interception points of

sin (x) cos (x), 0 \leq x \leq π :

X Intercepts

: (0, 0), (π, 0), (\frac{π}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (x) cos (x), 0 \leq x \leq π :

None

Extreme Points of

sin (x) cos (x), 0 \leq x \leq π :

Minimum

(0, 0),

Maximum

(\frac{π}{4}, \frac{1}{2}),

Minimum

(\frac{3 π}{4}, - \frac{1}{2}),

Maximum

(π, 0)

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Frequently Asked Questions (FAQ)

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