What is expand (1+sin(a))^2 ?

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

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expand (1+sin(a))^2

expand

(1 + sin (a))^{2}

1 + 2 sin (a) + sin^{2} (a)

Solution steps

(1 + sin (a))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 1 + 2 sin (a) + sin^{2} (a)

4 - y (y^{4} - 4 y^{3} + 4 y)

2 (2^{\frac{1}{2}} - 4)

3 (7 + 10)

\frac{4 s ( 8 + 4 s + s ^{2} )}{( 2 + s ) ^{2} ( 4 + s )}

- \frac{5 ( x - 140 ) ( x - 180 ) ( x - 240 )}{64}

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