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

User Quyen
by
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1 Answer

5 votes
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
User Shaahin Ashayeri
by
8.0k points

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