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

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

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expand (sin(x)-1)^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

Simplify

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

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

(e - 1)^{3}

\frac{1}{8} (3 + 4 cos (2 x) + cos (4 x))

(e^{x} + 2)^{2}

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

cos (x) (1 - sec (x)) + 1

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