martinperezb4313 martinperezb4313
  • 26-03-2019
  • Mathematics
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Use the trigonometric subtraction formula for sine to verify this identity: sin((π / 2) – x) = cos x

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JK94 JK94
  • 26-03-2019

Answer:

Step-by-step explanation:

[tex]sin (\frac{\pi}{2} - x) = cos x \\\\ sin (a - b) = sin a.cos b - sin b.cos a \\\\ sin (\frac{\pi}{2} - x) = sin \frac{\pi}{2}.cos x - sin x.cos \frac{\pi}{2} \\\\ sin \frac{\pi}{2} = 1; cos \frac{\pi}{2} = 0 \\\\ sin (\frac{\pi}{2} - x) = 1.cos x - sin x.0 \\\\ sin (\frac{\pi}{2} - x) = cos x[/tex]

I hope I helped you.

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