What is expand 1-sin(x)(1+sin(x)) ?

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

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expand 1-sin(x)(1+sin(x))

expand

1 - sin (x) (1 + sin (x))

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

Solution steps

1 - sin (x) (1 + sin (x))

Expand

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

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

Use the Pythagorean identity:

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

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

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

(1 - sin (x)) (cos (x))

a (x, - 1, - 1) + b (- 1, x, - 1) + c (- 1, - 1, x)

(y + 4)^{2}

\frac{3 x ^{2} + x}{( x + 1 ) ( x ^{2} + 1 )}

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