kripa92
kripa92 kripa92
  • 22-12-2020
  • Mathematics
contestada

plzz help

find value of following : 2sin75°.cos15°​

Respuesta :

jimrgrant1 jimrgrant1
  • 22-12-2020

Answer:

[tex]\frac{2+\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Using the product to sum formula

sinxcosy = [tex]\frac{1}{2}[/tex] [ sin(x + y) + sin(x - y) ] , then

2sinxcosy = sin(x + y) + sin(x - y)

Given

2sin75°cos15° ← with x = 75 and y = 15 , then

= sin(75 + 15) + sin(75 - 15)

= sin90° + sin60°

= 1 + [tex]\frac{\sqrt{3} }{2}[/tex]

= [tex]\frac{2+\sqrt{3} }{2}[/tex]

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