en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=10cos(30x-7)

Solution

f (x) = 10 cos (30 x - 7)

Solution

Period : \frac{π}{15}

Domain : - \infty < x < \infty

Range : - 10 \leq f (x) \leq 10

X Intercepts : (\frac{7}{30} - \frac{π}{20} + \frac{πn}{15}, 0), (\frac{7}{30} - \frac{π}{60} + \frac{πn}{15}, 0), Y Intercepts : (0, 10 cos (30 \cdot 0 - 7))

Asymptotes : None

Extreme Points : Maximum (\frac{7 - 2 π}{30} + \frac{π}{15} n, 10), Minimum (\frac{- π + 7}{30} + \frac{π}{15} n, - 10)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 10, 10]

Solution steps

Periodicity of

10 cos (30 x - 7) : \frac{π}{15}

Domain of

10 cos (30 x - 7) : - \infty < x < \infty

Range of

10 cos (30 x - 7) : - 10 \leq f (x) \leq 10

Axis interception points of

10 cos (30 x - 7) :

X Intercepts

: (\frac{7}{30} - \frac{π}{20} + \frac{πn}{15}, 0), (\frac{7}{30} - \frac{π}{60} + \frac{πn}{15}, 0),

Y Intercepts

: (0, 10 cos (30 \cdot 0 - 7))

Asymptotes of

10 cos (30 x - 7) :

None

Extreme Points of

10 cos (30 x - 7) :

Maximum

(\frac{7 - 2 π}{30} + \frac{π}{15} n, 10),

Minimum

(\frac{- π + 7}{30} + \frac{π}{15} n, - 10)

Popular Examples

integral of (-2x)/(1+x^2)

\int \frac{- 2 x}{1 + x ^{2}} d x

(\partial)/(\partial x)(e^{-8x})

\frac{\partial}{\partial x} (e^{- 8 x})

d/(dy)(cos(2y))

\frac{d}{d y} (cos (2 y))

limit as x approaches 0-of 5x^3-7x^2+2^x-2

x \to 0 - lim (5 x^{3} - 7 x^{2} + 2^{x} - 2)

integral of 1/(sqrt(t^2-6t+34))

\int \frac{1}{t ^{2} - 6 t + 34} d t

Frequently Asked Questions (FAQ)

What is the f(x)=10cos(30x-7) ?
The f(x)=10cos(30x-7) is