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

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

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

expand

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

sin (2 \cdot 3 t) + 1

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= sin (2 \cdot 3 t) + 1

ln^{x^{2}} (x) (2 x ln (ln (x)) + \frac{x}{ln ( x )})

(2 x - 2) (2 x + 2)

(4 - y i)^{2}

(270 + 905) c m^{3}

(x - \frac{5}{2})^{2}

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