What is cos(x)-2cos^2(x)+1 ?

The solution to cos(x)-2cos^2(x)+1 is cos(x)-cos(2x)

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simplify cos(x)-2cos^2(x)+1

simplify

cos (x) - 2 cos^{2} (x) + 1

cos (x) - cos (2 x)

Solution steps

cos (x) - 2 cos^{2} (x) + 1

Use the Double Angle identity:

2 cos^{2} (x) - 1 = cos (2 x)

- 2 cos^{2} (x) + 1 = - cos (2 x)

= cos (x) - cos (2 x)

(2 b^{2} - 2 - 5 b + 6 b^{3}) (3 + 3 b^{2} - b)

\frac{a}{( a ^{2} + b ^{5} )}

2 x y (\frac{1}{2} + x - 2)

(a + b)^{- 1} (a^{- 1} + b^{- 1})

(m + 1)^{11}

What is cos(x)-2cos^2(x)+1 ?
The solution to cos(x)-2cos^2(x)+1 is cos(x)-cos(2x)