SOLUTION: Hello,
If {{{ cos a }}} = {{{ tan b }}} and {{{ cos b = tan a }}}, where a and b are acute angles, show that
sin a = sin b = {{{ sqrt((3 - sqrt(5))/2) }}}
---
I know t
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Question 95547This question is from textbook
: Hello,
If = and , where a and b are acute angles, show that
sin a = sin b =
---
I know that and , but I do not know where to go from here.
Thank you in advance for your help.
This question is from textbook
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If = and , where a and b are acute angles, show that
A)sin a = sin b
B)=
-------------------------
Part A:
cosa = tanb
cosa = sinb/cosb
But cosb = tana
So, cosa = sinb/tana
Therefore sinb = cosa*tana
sinb = cosa
And finally, sinb = sina
==================
Part B:
So now sina = sinb
Comment:
Since a and b are acute that implies angle a = angle b
Which implies a and b are both 45 degrees
? where they got the sqrt[(3-sqrt5)/2] is beyond me?
=====================
Cheers,
Stan H.
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