RaiRSirnanaa
RaiRSirnanaa RaiRSirnanaa
  • 09-12-2016
  • Mathematics
contestada

sin^2(75)-cos^2(75)=?

Respuesta :

Lampa20
Lampa20 Lampa20
  • 09-12-2016
There are 2 ways of solving this: 
1: puting numbers in calculator and get answer
2: try to simplify this and than calculate.

We will do second way.

there is trigonometric formula: cos2α = cos^2(α) - sin^2(α)

if we take "-" in front of our expression:
-(cos^2(75) - sin^2(75)) = -cos(2*75) = -cos(150) = -√3/2

answer is -√3/2
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