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

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

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

expand

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

sin (2 \cdot 2 t) + 1

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= sin (2 \cdot 2 t) + 1

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

(9 x^{2} + 8 x + 2) \circ (sin (x))

(3 cos (θ) + 2 sin (θ))^{2}

(2 x + 1)^{2} d x

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