Question

verify the following Cos 60 equals to 1 - 2 sin square 30 equal to 2 cos squared 30 - 1

Answer 1

hope it helps uh ...
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Answer 2

$cos60 = 1 - 2sin {}^{2} 30 = 2cos {}^{2} 30 - 1 \\ \frac{1}{2} = 1 - 2{( \frac{1}{2} )}^{2} = 2 \times {( \frac{ \sqrt{3} }{2} )}^{2} - 1 \\ \frac{1}{2} = 1 - 2 \times \frac{1}{4} = 2 \times \frac{3}{4} - 1 \\ \frac{1}{2} = 1 - \frac{2}{4} = \frac{6}{4} - 1 \\ \frac{1}{2} = \frac{4 - 2}{4} = \frac{6 - 4}{4} \\ \frac{1}{2} = \frac{2}{4} = \frac{2}{4} \\ \frac{1}{2} = \frac{1}{2} = \frac{1}{2}$
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