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Popular >

f(θ)=cos(θ)-sin(θ)

Solution

f (θ) = cos (θ) - sin (θ)

Solution

Period : 2 π

Domain : - \infty < θ < \infty

Range : - 2 \leq f (θ) \leq 2

X Intercepts : (\frac{π}{4} + 2 πn, 0), (\frac{5 π}{4} + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (\frac{3 π}{4} + 2 πn, - 2), Maximum (\frac{7 π}{4} + 2 πn, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

cos (θ) - sin (θ) : 2 π

Domain of

cos (θ) - sin (θ) : - \infty < θ < \infty

Range of

cos (θ) - sin (θ) : - 2 \leq f (θ) \leq 2

Axis interception points of

cos (θ) - sin (θ) :

X Intercepts

: (\frac{π}{4} + 2 πn, 0), (\frac{5 π}{4} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos (θ) - sin (θ) :

None

Extreme Points of

cos (θ) - sin (θ) :

Minimum

(\frac{3 π}{4} + 2 πn, - 2),

Maximum

(\frac{7 π}{4} + 2 πn, 2)

Popular Examples

f (x) = - x - 5

f (x) = ln (x) - 1

y = - x^{2} + x + 6

y = 5 x^{2} - 20 x + 2

f (x) = x - 12

Frequently Asked Questions (FAQ)

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