What is sin(-2sin(x)cos(x)) ?

The solution to sin(-2sin(x)cos(x)) is -sin(sin(2x))

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simplify sin(-2sin(x)cos(x))

simplify

sin (- 2 sin (x) cos (x))

- sin (sin (2 x))

Solution steps

sin (- 2 sin (x) cos (x))

Use the negative angle identity:

sin (- x) = - sin (x)

= - sin (2 cos (x) sin (x))

Use the Double Angle identity:

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

= - sin (sin (2 x))

cos (arctan (y))

1 + tan^{2} (9 0^{\circ} - x)

tan (\frac{π}{3} + x)

csc (arcsin (u))

sin (2 x) - sin (- 2 x)

What is sin(-2sin(x)cos(x)) ?
The solution to sin(-2sin(x)cos(x)) is -sin(sin(2x))