What is simplify-sqrt(1-(cos(x-c))^2) ?

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

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simplify-sqrt(1-(cos(x-c))^2)

simplify

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

- sin (- c + x)

Solution steps

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

Use the Pythagorean identity:

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

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

= - sin^{2} (- c + x)

Apply radical rule:

assuming

a \geq 0

= - sin (x - c)

(sec^{2} (π x) - 1)^{3}

\frac{1}{1 - sin ^{2} ( a )}

cos (πn \cdot 2)

cos (arcsin (2 x))

36 - (6 (sin (θ)))^{2}

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