What is expand ((2+2sin(t))^2)/4 ?

The solution to expand ((2+2sin(t))^2)/4 is 1+2sin(t)+sin^2(t)

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expand ((2+2sin(t))^2)/4

expand

\frac{( 2 + 2 sin ( t ) ) ^{2}}{4}

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

Solution steps

\frac{( 2 + 2 sin ( t ) ) ^{2}}{4}

(2 + 2 sin (t))^{2} = 4 + 8 sin (t) + 4 sin^{2} (t)

= \frac{4 + 8 sin ( t ) + 4 sin ^{2} ( t )}{4}

Factor

4 + 8 sin (t) + 4 sin^{2} (t) : 4 (1 + 2 sin (t) + sin^{2} (t))

= \frac{4 ( 1 + 2 sin ( t ) + sin ^{2} ( t ) )}{4}

Divide the numbers:

\frac{4}{4} = 1

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

\frac{x ^{2} + 7 x - 1}{( x - 3 ) ( x + 8 )}

- \frac{( 4 x + 1 ) ^{2} ( x + 4 ) ^{3}}{4}

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

1 - (- 3 + 6 + 1) - [4 - (6 - 3 + 1) = 2]

(1 + e^{2 x}) (- e^{2 x})

What is expand ((2+2sin(t))^2)/4 ?
The solution to expand ((2+2sin(t))^2)/4 is 1+2sin(t)+sin^2(t)