What is the domain of h(t)=(cos^2(t))/(1-t^2) ?

The domain of h(t)=(cos^2(t))/(1-t^2) is t 1

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domain of h(t)=(cos^2(t))/(1-t^2)

domain

h (t) = \frac{cos ^{2} ( t )}{1 - t ^{2}}

t < - 1 or - 1 < t < 1 or t > 1

Interval Notation

(- \infty, - 1) \cup (- 1, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

t = 1, t = - 1

The function domain

t < - 1 or - 1 < t < 1 or t > 1

f (x) = 2^{x + 3} - 1

f (x) = 24 - 6 x

- \frac{4}{x ^{2}}

- 3 - 3 x - x^{2}

\frac{3}{x ^{2} + 2 x - 35}

What is the domain of h(t)=(cos^2(t))/(1-t^2) ?
The domain of h(t)=(cos^2(t))/(1-t^2) is t<-1\lor-1<t<1\lor t>1