What is expand 2(1+sin(x))(1+cos(x)) ?

The solution to expand 2(1+sin(x))(1+cos(x)) is 2cos(x)+2sin(x)+sin(2x)+2

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expand 2(1+sin(x))(1+cos(x))

expand

2 (1 + sin (x)) (1 + cos (x))

2 cos (x) + 2 sin (x) + sin (2 x) + 2

Solution steps

2 (1 + sin (x)) (1 + cos (x))

Expand

2 (1 + sin (x)) (1 + cos (x)) : 2 (1 + cos (x) + sin (x) + cos (x) sin (x))

= 2 (1 + cos (x) + sin (x) + cos (x) sin (x))

Distribute parentheses

= 2 \cdot 1 + 2 cos (x) + 2 sin (x) + 2 cos (x) sin (x)

Simplify

2 \cdot 1 + 2 cos (x) + 2 sin (x) + 2 cos (x) sin (x) : 2 cos (x) + 2 sin (x) + sin (2 x) + 2

= 2 cos (x) + 2 sin (x) + sin (2 x) + 2

(z - r cos (θ))^{2}

\frac{( 1 + x ) ^{\frac{4}{5}}}{1 + x}

- e^{x^{2} - 5 x} (2 x - 5)

(3 + z) (3 - z)

3 (12 - 2)

What is expand 2(1+sin(x))(1+cos(x)) ?
The solution to expand 2(1+sin(x))(1+cos(x)) is 2cos(x)+2sin(x)+sin(2x)+2