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)

t (x) x^{^{''}} + (2 t (x) - 4) x^{^{'}} + 2 x

s + i (- s^{2} + 1)

\frac{s ^{2} + 20 s + 150}{( s + 2.93 ) ( s + 17.07 )}

\frac{4 ( s + 1 )}{( s ^{2} + 2 s + 5 ) ^{2}}

(4, 7) y (3, - 2)

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