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Popular >

y=sin(x)

Solution

y = sin (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

X Intercepts : (2 πn, 0), (π + 2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (x) : 2 π

Domain of

sin (x) : - \infty < x < \infty

Range of

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

Axis interception points of

sin (x) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (x) :

None

Extreme Points of

sin (x) :

Maximum

(\frac{π}{2} + 2 πn, 1),

Minimum

(\frac{3 π}{2} + 2 πn, - 1)

Popular Examples

domain of f(x)= 1/(x^2+2)domain

f (x) = \frac{1}{x ^{2} + 2}

intercepts of f(x)=-2(x-2)^2+7 intercepts

f (x) = - 2 (x - 2)^{2} + 7

inverse of (3x+4)/(10x-12)inverse

\frac{3 x + 4}{10 x - 12}

inflection-x^4+4x^3-4x+19 inflection points

- x^{4} + 4 x^{3} - 4 x + 19

intercepts of (3x)/(x+6)intercepts

\frac{3 x}{x + 6}

Frequently Asked Questions (FAQ)

What is the y=sin(x) ?
The y=sin(x) is