We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
38
3
avatar+53 

Write the general solution to y = arcsin (0.9659).


Select all that apply:

 

a. 15°±360°k

b. 75°±360°k

c. 105°±360°k

d. 165°±360°k

 Jul 6, 2019
edited by cormier123  Jul 6, 2019
 #1
avatar+101813 
+1

arcsin (0.9659)  = b.  75°±360°    and  c. 105°±360°k

 

 

cool cool cool

 Jul 6, 2019
 #2
avatar+53 
+1

I understand why b is an answer, but could you explain why c is?

cormier123  Jul 6, 2019
 #3
avatar+101813 
+1

Remember that  the sine is positive in the first quadrant  and in the second quadrant

 

And we have the identity that  sin (180° - A)   =   sin 180°cos A - sin Acos180° =

 

0*cosA  - sinA*(-1)   =  sin A

 

So.....

 

sin  (180° - 75°)  =   sin (105°)  =  sin (75°)

 

 

cool cool cool

 Jul 6, 2019

4 Online Users