What is the value of 1 – 2sin^2(105°)?

Answer:
Step-by-step explanation:
1-2sin²∝=cos 2∝
1-2sin²(105)=cos(2×105)
=cos 210
=cos (180+30)
=-cos 30
[tex]=-\frac{\sqrt{3}}{2} \\[/tex]
The correct answer is option A which is the value of the expression is -√3/2.
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
The expression will be solved as:-
1-2sin²∝=cos 2∝
1-2sin²(105)=cos(2×105)
1-2sin²(105=cos 210
1-2sin²(105=cos (180+30)
1-2sin²(105=-cos 30
1-2sin²(105 = -√3/2.
Therefore the correct answer is option A which is the value of the expression is -√3/2.
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