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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+111438 
+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+111438 
+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

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