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Popular >

f(x)=3sin(x)-4cos(x)

Solution

f (x) = 3 sin (x) - 4 cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 5 \leq f (x) \leq 5

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, 5]

Solution steps

Periodicity of

3 sin (x) - 4 cos (x) : 2 π

Domain of

3 sin (x) - 4 cos (x) : - \infty < x < \infty

Range of

3 sin (x) - 4 cos (x) : - 5 \leq f (x) \leq 5

Axis interception points of

3 sin (x) - 4 cos (x) :

X Intercepts

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

Y Intercepts

: (0, - 4)

Asymptotes of

3 sin (x) - 4 cos (x) :

None

Extreme Points of

3 sin (x) - 4 cos (x) :

Maximum

(- arctan (\frac{3}{4}) + π + 2 πn, 5),

Minimum

(- arctan (\frac{3}{4}) + 2 π + 2 πn, - 5)

Graph

Popular Examples

y^{^{'}} = 4 x y

integral from-2 to 1 of sqrt(1+25)

\int_{- 2}^{1} 1 + 25 d x

limit as x approaches 27 of (3-\sqrt[3]{x})/(27-x)

x \to 27 lim (\frac{3 - 3 x}{27 - x})

tangent of f(x)=(9-6x)^2,(1,9)tangent of

f (x) = (9 - 6 x)^{2}, (1, 9)

inverse oflaplace 1/(s^2(1+7s))inverse laplace

\frac{1}{s ^{2} ( 1 + 7 s )}

Frequently Asked Questions (FAQ)

What is the f(x)=3sin(x)-4cos(x) ?
The f(x)=3sin(x)-4cos(x) is