Question

Sin2xcos3x-cos2xsin3x-cos(3П/2-x)

Answer 1

Sin2xcos3x-cos2xsin3x-cos(3π/2-x)
sin2xcos3x-cos2xsin3x -это разность синусов, а cos(3π/2-x) это формула приведения , то есть знак меняется и cos меняется на sin 
-sinx+sinx=0
ответ:0

Answer 2

To simplify the expression sin(2x)cos(3x) - cos(2x)sin(3x) - cos(3π/2 - x), you can use trigonometric identities and properties.

1. Start by simplifying the trigonometric products using the identity sin(A - B) = sin(A)cos(B) - cos(A)sin(B):

sin(2x)cos(3x) - cos(2x)sin(3x) - cos(3π/2 - x)

= sin(2x - 3x) - cos(3π/2 - x)

2. Now, simplify the expressions inside the trigonometric functions:

= sin(-x) - cos(3π/2 - x)

3. Use the identity sin(-x) = -sin(x):

= -sin(x) - cos(3π/2 - x)

4. Recall that cos(3π/2 - x) is equal to sin(x), since cos(π/2 - x) = sin(x):

= -sin(x) - sin(x)

5. Finally, combine the two terms:

= -2sin(x)

So, the simplified expression is:

-2sin(x)