Question

2 cos square 30 degree minus 1 equal to 1 minus 2 sin square 30 degree equal to Cos 60 degree​

Answer 1

2cos^2 30degree - 1 = 1 - 2sin^2 30degree =cos 60 degree.

(putting the value of cos^2 30 degree and sin^2 30degree and 60 degree.)

=2×((square root of 3)/2)^2-1=2×(1/2)^2=1/2

{putting the value of (square root of 3/2)^2}

=2×3/4-1=2×1/4=1/2
=3/2-1=2×1/4=1/2
=1/2=1/2=1/2

[hence proved]


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