en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=cos(x)+1/2 sin(2x)

Solution

y = cos (x) + \frac{1}{2} sin (2 x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{6} + 2 πn, \frac{3 3}{4}), Minimum (\frac{5 π}{6} + 2 πn, - \frac{3 3}{4}), Saddle (\frac{3 π}{2} + 2 πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{3 3}{4}, \frac{3 3}{4}]

Solution steps

Periodicity of

cos (x) + \frac{1}{2} sin (2 x) : 2 π

Domain of

cos (x) + \frac{1}{2} sin (2 x) : - \infty < x < \infty

Range of

cos (x) + \frac{1}{2} sin (2 x) : - \frac{3 3}{4} \leq f (x) \leq \frac{3 3}{4}

Axis interception points of

cos (x) + \frac{1}{2} sin (2 x) :

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

cos (x) + \frac{1}{2} sin (2 x) :

None

Extreme Points of

cos (x) + \frac{1}{2} sin (2 x) :

Maximum

(\frac{π}{6} + 2 πn, \frac{3 3}{4}),

Minimum

(\frac{5 π}{6} + 2 πn, - \frac{3 3}{4}),

Saddle

(\frac{3 π}{2} + 2 πn, 0)

Popular Examples

f(x)=9x^6-6x^3+1

f (x) = 9 x^{6} - 6 x^{3} + 1

y=log_{3}(x-3)-1

y = lo g_{3} (x - 3) - 1

f (x) = 81 x^{\frac{1}{4}}

f(x)=tan(2x)-sec(2x)

f (x) = tan (2 x) - sec (2 x)

f(x)= 1/(x^3+c)

f (x) = \frac{1}{x ^{3} + c}

Frequently Asked Questions (FAQ)

What is the y=cos(x)+1/2 sin(2x) ?
The y=cos(x)+1/2 sin(2x) is