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

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

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

expand

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

2 sin^{2} (x) + sin (x)

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

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

= 2 sin^{2} (x) + sin (x)

ln (2 x - 1)

\frac{2 ( 31 - 4 10 )}{9}

3 (a - \frac{1}{6})^{2} - \frac{145}{12}

(t + 2 t)^{4} + (t - 2 t)^{4}

tan (θ) (sec (θ) - 1)

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