csksakvvfz csksakvvfz
  • 01-06-2021
  • Mathematics
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The identity sin (theta/2) = +- sqrt 1-cos theta/2 is derived from which other identity?

The identity sin theta2 sqrt 1cos theta2 is derived from which other identity class=

Respuesta :

jimrgrant1 jimrgrant1
  • 01-06-2021

Answer:

2nd option

Step-by-step explanation:

Using

sin²A = [tex]\frac{1-cos2A}{2}[/tex] ( take the square root of both sides )

sinA = ± [tex]\sqrt{\frac{1-cos2A}{2} }[/tex]

Replace 2A with θ and A with [tex]\frac{0}{2}[/tex] , then

sin ([tex]\frac{0}{2}[/tex] ) = ± [tex]\sqrt{\frac{1-cos20}{2} }[/tex]

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