anonymous
  • anonymous
Find each exact value if 0 < x < pi/2 and 0 < y < pi/2 .
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
1. cos (x + y) if sin x = 5/13 and sin y = 4/5 2. sin (x – y) if cos x = 8/17 and cos y = 3/5 3. tan (x – y) if csc x = 13/5 and cot y = 4/3
anonymous
  • anonymous
In first case, you are to find cosx and cosy..
anonymous
  • anonymous
Using the identity : \[\cos^2(x) + \sin^2(x) = 1\]

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anonymous
  • anonymous
Then after finding you are supposed to use : \[\cos(x+y) = \cos(x) \cos(y) - \sin(x) \sin(y)\]
anonymous
  • anonymous
Thanks for the method. I wasn't sure what I was supposed to use here.
anonymous
  • anonymous
Must remember for the intervals you are given with.. x and y are in 0 to 90 interval, and all trigonometric ratios in this range will be positive..
anonymous
  • anonymous
Just try once...

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