alinateow
alinateow alinateow
  • 15-11-2020
  • Mathematics
contestada

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

hello anyone able to help with question 5 thanks class=

Respuesta :

jimrgrant1 jimrgrant1
  • 15-11-2020

Answer:

see explanation

Step-by-step explanation:

Using the product/ difference identity

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

Consider the left side

2sin([tex]\frac{\pi }{4}[/tex] + α)sin([tex]\frac{\pi }{4}[/tex] - α )

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

= cos2α - cos[tex]\frac{\pi }{2}[/tex]

= cos2α - 0

= cos2α = right side , thus proven

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