SOLUTION: proving compound angle formula a) tan(x+45)-tan(x-45)= 4tanx/1-tan^2x b) sin(x-30)-cos(x+60)=square root 3sinx-cos x plz help me am stuck thx lots

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Question 1119399: proving compound angle formula
a) tan(x+45)-tan(x-45)= 4tanx/1-tan^2x

b) sin(x-30)-cos(x+60)=square root 3sinx-cos x
plz help me am stuck thx lots

Found 2 solutions by Edwin McCravy, AnlytcPhil:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


That's not true, for if you substitute x = 100°,
you get 45.71229319 = -3.585054968, so
you must have copied it wrong.

But the second one is true:



Work with left side only:






 


Edwin

Answer by AnlytcPhil(1807)   (Show Source): You can put this solution on YOUR website!
I have discovered what your copying error in the first
one must have been.  The sign between the terms in the
numerator of the left side should have been +, not -.


Work with left side only:
















----------------------------------------------------------



Work with left side only:






 


Edwin (aka AnlytcPhil) 

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