millerskm millerskm
  • 17-08-2019
  • Mathematics
contestada

verify sin (360-theta)=-sin theta

Respuesta :

jimrgrant1 jimrgrant1
  • 17-08-2019

Answer:

see explanation

Step-by-step explanation:

Using the difference formula for sine

sin(x - y) = sinxcosy - cosxsiny

Hence

sin(360 - Θ )

= sin360cosΘ - cos360sinΘ

= 0 × cosΘ - 1 × sinΘ

= 0 - sinΘ

= - sinΘ ← as required

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