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Popular >

y=3cos(x-pi/4)

Solution

y = 3 cos (x - \frac{π}{4})

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 3 \leq f (x) \leq 3

X Intercepts : (\frac{3 π}{4} + 2 πn, 0), (\frac{7 π}{4} + 2 πn, 0), Y Intercepts : (0, \frac{3 2}{2})

Asymptotes : None

Extreme Points : Maximum (\frac{π}{4} + 2 πn, 3), Minimum (\frac{5 π}{4} + 2 πn, - 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 cos (x - \frac{π}{4}) : 2 π

Domain of

3 cos (x - \frac{π}{4}) : - \infty < x < \infty

Range of

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

Axis interception points of

3 cos (x - \frac{π}{4}) :

X Intercepts

: (\frac{3 π}{4} + 2 πn, 0), (\frac{7 π}{4} + 2 πn, 0),

Y Intercepts

: (0, \frac{3 2}{2})

Asymptotes of

3 cos (x - \frac{π}{4}) :

None

Extreme Points of

3 cos (x - \frac{π}{4}) :

Maximum

(\frac{π}{4} + 2 πn, 3),

Minimum

(\frac{5 π}{4} + 2 πn, - 3)

Popular Examples

y=log_{2}(sqrt(x))

y = lo g_{2} (x)

y=(log_{10}(2x))^{2/3}

y = (lo g_{10} (2 x))^{\frac{2}{3}}

f(t)=2te^{-3t}sin(3t)cos(t)

f (t) = 2 t e^{- 3 t} sin (3 t) cos (t)

y = lo g_{2} (x - 7)

f(t)=te^{2t}sin(3t)

f (t) = t e^{2 t} sin (3 t)

Frequently Asked Questions (FAQ)

What is the y=3cos(x-pi/4) ?
The y=3cos(x-pi/4) is