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avatar+133 

I just decided to stuff all my checks into one post since they are solved. I solved them all, I just need to know if I am correct. Thank you all for your help.

 

1.

 

 

3.

4.

 

5.

 

6.

 Nov 30, 2020
edited by Spring  Nov 30, 2020
edited by Spring  Nov 30, 2020
 #1
avatar+116126 
+2

1) Product  of a complex  number  and a  real  number  is just a scalar of the complex number

 

 

cool cool cool

 Nov 30, 2020
 #2
avatar+116126 
+2

3.   a  = 8      c  =11   C  = 33

 

sin A  /a = sin C/ c

 

sin A / 8   = sin 33 / 11

 

sin A  =  (8/11) sin 33

 

arcsin  [ (8/11) * sin 33 ] = A  = 23.3° 

 

B =  180  -33  -  23.3   =  123.7°

 

b/ sin B =  c /sin C

 

b /  sin 123.7 = 11/sin 33

 

b =  11 sin 123.7 / sin 33  =   16.8

 

 

cool cool cool

 Nov 30, 2020
 #3
avatar+116126 
+2

4.

 

tan  [ arcsin (-1/2)  ]

________________

cos [ arctan (1)] 

 

Let  arcsin  (-1/2)  = A      and  arctan (1)  =  B  .....so we  have

 

tan (A)

______

cos (B)

 

If arcsin  (-1/2)  = A....rhis  angle  is a Q4  angle....x will  be  positive here

Then   x =  sqrt  [ 4 - 1 ] =   sqrt (3)

So tan (A) =   -1/ sqrt (3)

 

If  arctan (1)   =  B.......this is a Q1  angle

r=  sqrt  (1 + 1 )   =  sqrt (2)

So  cos B=   1/ sqrt (2)

 

So we have

 

(-1/sqrt (3) )  

__________   =

( 1/sqrt (2))

 

-sqrt (2)  /sqrt (3)   =

 

- sqrt (6)  / 3

 

cool cool cool

 Nov 30, 2020
 #5
avatar+133 
+1

Are the rest of them correct? Thank you!

Spring  Dec 1, 2020
 #4
avatar+133 
+1

Thank you so much for all your help CPhill! I greatly appreciate your help and time! 😊

 Nov 30, 2020

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