What is expand (1+cos(t))^2 ?

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

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expand (1+cos(t))^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

\frac{x ^{4} + 6 x - 1}{( x + 1 ) ( x ^{2} - 2 x + 4 )}

(a + b + c)^{5}

(cos (x) + i sin (x))^{4}

(cos (θ) + i sin (θ))^{4}

(x - 22) (x + 22)

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