What is the domain of y=(tan(37)-sin(30))/(csc(74)) ?

The domain of y=(tan(37)-sin(30))/(csc(74)) is -infinity <y<infinity

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domain of y=(tan(37)-sin(30))/(csc(74))

domain

y = \frac{tan ( 3 7 ^{\circ} ) - sin ( 3 0 ^{\circ} )}{csc ( 7 4 ^{\circ} )}

- \infty < y < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Convert

37

degrees to radians:

\frac{37 π}{180}

Convert

30

degrees to radians:

\frac{π}{6}

Convert

74

degrees to radians:

\frac{37 π}{90}

\frac{tan ( \frac{37 π}{180} ) - sin ( \frac{π}{6} )}{csc ( \frac{37 π}{90} )}

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < y < \infty

What is the domain of y=(tan(37)-sin(30))/(csc(74)) ?
The domain of y=(tan(37)-sin(30))/(csc(74)) is -infinity <y<infinity