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Popular >

y=cos(5x-3)

Solution

y = cos (5 x - 3)

Solution

Period : \frac{2 π}{5}

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 1

X Intercepts : (\frac{3}{5} + \frac{π}{10} + \frac{2 πn}{5}, 0), (\frac{3}{5} - \frac{π}{10} + \frac{2 πn}{5}, 0), Y Intercepts : (0, cos (- 3))

Asymptotes : None

Extreme Points : Maximum (\frac{3}{5} + \frac{2 π}{5} n, 1), Minimum (\frac{π}{5} + \frac{3}{5} + \frac{2 π}{5} n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos (5 x - 3) : \frac{2 π}{5}

Domain of

cos (5 x - 3) : - \infty < x < \infty

Range of

cos (5 x - 3) : - 1 \leq f (x) \leq 1

Axis interception points of

cos (5 x - 3) :

X Intercepts

: (\frac{3}{5} + \frac{π}{10} + \frac{2 πn}{5}, 0), (\frac{3}{5} - \frac{π}{10} + \frac{2 πn}{5}, 0),

Y Intercepts

: (0, cos (- 3))

Asymptotes of

cos (5 x - 3) :

None

Extreme Points of

cos (5 x - 3) :

Maximum

(\frac{3}{5} + \frac{2 π}{5} n, 1),

Minimum

(\frac{π}{5} + \frac{3}{5} + \frac{2 π}{5} n, - 1)

Popular Examples

f(x)=-3x^2+2x-9

f (x) = - 3 x^{2} + 2 x - 9

f(x)=x+6sqrt(x)+8

f (x) = x + 6 x + 8

f(x)=(x^2+3)/(x^2-9)

f (x) = \frac{x ^{2} + 3}{x ^{2} - 9}

y = 7 - x

y=(x^3+8)/(x^2+5x+6)

y = \frac{x ^{3} + 8}{x ^{2} + 5 x + 6}

Frequently Asked Questions (FAQ)

What is the y=cos(5x-3) ?
The y=cos(5x-3) is