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

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

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expand (1-sin(t))^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

\frac{8 x ^{2} + 15 x + 18}{( x + 3 ) ( x ^{2} + 6 )}

(sin (x) + cos (x))^{3}

\frac{18 ( s + 6 )}{( s ^{2} + 6 s + 18 ) ( s ^{2} - 6 s + 18 )}

(17 + tan (x)) (17 - tan (x)) + sec^{2} (x)

(3 x + 2) (3 x - 2)

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