Can you Simplify the Trigonometric Expression: cos 4x + cos 3x/ sin4x - sin 3x?

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In summary, the conversation is about finding the value of cot(x/2) using trigonometric functions. The person asking for help is trying to expand cos(4x+3x) and sin(4x+3x) in terms of cos(x) and sin(x). They are also asking for clarification on whether or not to factor out the x. The responder suggests using the formulae for sin(a+b) and cos(a+b) and writing cos(4x) as cos(3x+x).
  • #1
Cutie13
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cos 4x + cos 3x/ sin4x - sin 3x
Please somebody check this over!

The answer in the book is: cot (x/2)
 
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  • #2
What do you mean by check this over? You've not done anything yet! Try expanding the trigonometric functions so that they end up in terms of cos(x) and sin(x).
 
  • #3
cos (4x+3x)
____________
sin (4x+3x)
 
  • #4
or does the x have to be fatored out also?
am i on right track
 
  • #5
No. Have you come across formulae, for general a and b, for sin(a+b) and cos(a+b)? If so, try writing cos(4x) as cos(3x+x).
 

FAQ: Can you Simplify the Trigonometric Expression: cos 4x + cos 3x/ sin4x - sin 3x?

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