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Popular >

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

Solution

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

Solution

Period : π

Domain : πn \leq x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

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

Asymptotes : Vertical x = \frac{π}{2} + πn

+1

Interval Notation

Domain : [πn, \frac{π}{2} + πn) \cup (\frac{π}{2} + πn, π + πn)

Solution steps

Periodicity of

sin (2 x) - tan (x) : π

Domain of

sin (2 x) - tan (x) : πn \leq x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Axis interception points of

sin (2 x) - tan (x) :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

sin (2 x) - tan (x) :

Vertical

: x = \frac{π}{2} + πn

Popular Examples

f(x)=\sqrt[3]{x}-1

f (x) = 6 - x

y = 7 x - 2

y = - x^{2} + 4 x - 5

f(x)= x/(x^2+16)

f (x) = \frac{x}{x ^{2} + 16}

Frequently Asked Questions (FAQ)

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