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pochemuha
2 years ago
15

Hello , anyone able to help with question 5? thanks :)!

Mathematics
1 answer:
astra-53 [7]2 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Using the product/ difference identity

sinxsiny = \frac{1}{2} [ cos(x - y) - cos(x + y) ]

Consider the left side

2sin(\frac{\pi }{4} + α)sin(\frac{\pi }{4} - α )

= cos[\frac{\pi }{4} + α - \frac{\pi }{4} + α ] - cos [\frac{\pi }{4} + α + \frac{\pi }{4} - α ]

= cos2α - cos\frac{\pi }{2}

= cos2α - 0

= cos2α = right side , thus proven

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