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Popular >

f(t)=cos(2t)-sin(2t)

Solution

f (t) = cos (2 t) - sin (2 t)

Solution

Period : π

Domain : - \infty < t < \infty

Range : - 2 \leq f (t) \leq 2

X Intercepts : (\frac{π}{8} + πn, 0), (\frac{5 π}{8} + πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (\frac{3 π}{8} + πn, - 2), Maximum (\frac{7 π}{8} + πn, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

cos (2 t) - sin (2 t) : π

Domain of

cos (2 t) - sin (2 t) : - \infty < t < \infty

Range of

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

Axis interception points of

cos (2 t) - sin (2 t) :

X Intercepts

: (\frac{π}{8} + πn, 0), (\frac{5 π}{8} + πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos (2 t) - sin (2 t) :

None

Extreme Points of

cos (2 t) - sin (2 t) :

Minimum

(\frac{3 π}{8} + πn, - 2),

Maximum

(\frac{7 π}{8} + πn, 2)

Popular Examples

f(x)=x^2arcsin(x)

f (x) = x^{2} arcsin (x)

y=x^4+x^3-7x^2-x+6

y = x^{4} + x^{3} - 7 x^{2} - x + 6

f(x)=log_{10}(x+2)+1

f (x) = lo g_{10} (x + 2) + 1

y=2x^3-6x^2-18x+7

y = 2 x^{3} - 6 x^{2} - 18 x + 7

f (n) = n^{4}

Frequently Asked Questions (FAQ)

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