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Popular >

f(x)=cos(x)+sin(x)+tan(x)

Solution

f (x) = cos (x) + sin (x) + tan (x)

Solution

Period : 2 π

Domain : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Y Intercepts : (0, 1)

Asymptotes : Vertical x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn

+1

Interval Notation

Domain : [2 πn, \frac{π}{2} + 2 πn) \cup (\frac{π}{2} + 2 πn, \frac{3 π}{2} + 2 πn) \cup (\frac{3 π}{2} + 2 πn, 2 π + 2 πn)

Solution steps

Periodicity of

cos (x) + sin (x) + tan (x) : 2 π

Domain of

cos (x) + sin (x) + tan (x) : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Axis interception points of

cos (x) + sin (x) + tan (x) :

Y Intercepts

: (0, 1)

Asymptotes of

cos (x) + sin (x) + tan (x) :

Vertical

: x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn

Popular Examples

f(x)=e^{2x}-6e^x+8

f (x) = e^{2 x} - 6 e^{x} + 8

y = 0.8 x

y = 0.4 x

f (x) = 21

f (x) = 42

Frequently Asked Questions (FAQ)

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