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Popular >

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

Solution

f (cos (x)) = sin^{2} (x) - tan^{2} (x)

Solution

Period : π

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

X Intercepts : (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^{2} (x) : π

Domain of

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

Axis interception points of

sin^{2} (x) - tan^{2} (x) :

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin^{2} (x) - tan^{2} (x) :

Vertical

: x = \frac{π}{2} + πn

Popular Examples

f (x) = - 8 x + 3

f (x) = ∣ 5 - x ∣

y = 5 - 8 x

f(x)=x^7(5+8x)^3

f (x) = x^{7} (5 + 8 x)^{3}

f(x)=2(x^2+x-2)(x^2+2x+5)

f (x) = 2 (x^{2} + x - 2) (x^{2} + 2 x + 5)

Frequently Asked Questions (FAQ)

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