What are the domain of these two functions:

Question

anonymous · Answer

$$y=-3\sec(\pi-2x)+5$$

anonymous · Answer

$$y=-2\sin(5/4x)$$

anonymous · Answer

@Nnesha

anonymous · Answer

somebody please help

anonymous · Answer

@Vocaloid

anonymous · Answer

Domain represents the value for x thus in the second equation is there any value that x cannot be?

anonymous · Answer

the sine curve has its domain unrestricted where as the secant function has vertical asymptotes, hence a restricted domain.

anonymous · Answer

therefore the domain for the first function is (-infinity,infinity)

anonymous · Answer

but I do not know the domain for the second function, what is it? @Deeezzzz

anonymous · Answer

Are you familiar with finding the period of the secant func?

anonymous · Answer

yes

anonymous · Answer

The period of the second function is 2

anonymous · Answer

@Deeezzzz

mathstudent55 · Answer

The first function uses the secant function. Remember this identity.

$\sec \theta = \dfrac{1}{\cos \theta}$ 

The secant is not defined where the cosine equals zero.

mathstudent55 · Answer

In the second function, you have the sine function.
The sine function is defined for every value of theta.

anonymous · Answer

wait, so for the second function the domain is (-infinity,infinity)

mathstudent55 · Answer

yes

anonymous · Answer

I still dont get the domain for the first function

mathstudent55 · Answer

There is no restriction on the domain of the sine function.

anonymous · Answer

how would i write it down in terms of interval notation

mathstudent55 · Answer

Where is the cosine equal to zero?

anonymous · Answer

its undefined?

anonymous · Answer

@mathstudent55

mathstudent55 · Answer

The figure below shows where the cosine equals zero.
It is at those points where the secant is undefined.
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