What is expand (1+cos(3t))^2 ?

The solution to expand (1+cos(3t))^2 is 1+2cos(3t)+cos^2(3t)

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expand (1+cos(3t))^2

expand

(1 + cos (3 t))^{2}

1 + 2 cos (3 t) + cos^{2} (3 t)

Solution steps

(1 + cos (3 t))^{2}

Apply Perfect Square Formula:

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

(1 + cos (3 t))^{2} = 1^{2} + 2 \cdot 1 \cdot cos (3 t) + cos^{2} (3 t)

= 1^{2} + 2 \cdot 1 \cdot cos (3 t) + cos^{2} (3 t)

Simplify

1^{2} + 2 \cdot 1 \cdot cos (3 t) + cos^{2} (3 t) : 1 + 2 cos (3 t) + cos^{2} (3 t)

= 1 + 2 cos (3 t) + cos^{2} (3 t)

cos (0)

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

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

x (x^{5} e^{11 x} + 2)

What is expand (1+cos(3t))^2 ?
The solution to expand (1+cos(3t))^2 is 1+2cos(3t)+cos^2(3t)