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

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

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expand sqrt((1-cos(x))^2+sin^2(x))

expand

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

2 - 2 cos (x)

Solution steps

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

Expand

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

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

Rewrite using trig identities

= 2 - 2 cos (x)

(x - 3 + 2)^{2}

\frac{x}{( x ^{2} + 4 x + 4 ) ( x ^{2} + x + 1 )}

7 (sin (2 x) - cos (2 x))

(3 - 2 i)^{4}

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