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Ilya [14]
3 years ago
15

Use the trigonometric subtraction formula for sine to verify this identity: sin((π / 2) – x) = cos x

Mathematics
1 answer:
KIM [24]3 years ago
4 0

Answer:

Step-by-step explanation:

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

I hope I helped you.

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Answer:

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Step-by-step explanation:

step 1

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step 2

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step 3

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substitute

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