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

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

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expand (1+sin(x))^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(1 - i)^{5}

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

(x + 2)^{2}

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

(1 + cos (x)) (csc (x) - cot (x))

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