+0  
 
0
106
1
avatar

If n is an integer, n * 180 degrees represents an integer multiple of 180 degrees, (2n + 1) * 90 degrees represents an odd integer multiple of 90 degrees, and so on. Decide whether each expression is equal to 0, 1, -1, or is undefined ?

 

csc[(4n+1) * 90degrees]

 

Any help provided on this would be very appreciated!

 Sep 7, 2018
 #1
avatar+4490 
+1

\((4n+1)\cdot 90^\circ = n360^\circ + 90^\circ \\ \\ \text{trig functions are all periodic with period }360^\circ \\ \text{so}\csc((4n+1)\cdot 90^\circ) = \csc(90^\circ) \\ \csc(90^\circ) = \dfrac{1}{\sin(90^\circ)} = \dfrac{1}{1} = 1\)

.
 Sep 7, 2018

34 Online Users

avatar
avatar
avatar
avatar