Question

1 - (sin2x - sinx / 2cosx) heeeelp

Answer 1

1 - ( (sin(2x) - sin(x))/(2cos(x)) ) = 1 - ( 2sin(x)cos(x) - sin(x) )/(2cos(x)) = 
 = 1 - sin(x) - (1/2)*tg(x).

Answer 2

To simplify the expression 1 - (sin(2x) - sin(x) / (2cos(x)), you can follow these steps:

1. First, simplify the fraction sin(x) / (2cos(x)): sin(x) / (2cos(x)) = (sin(x) / 2) / cos(x) = (1/2) * (sin(x) / cos(x)) = (1/2) * tan(x).

2. Substitute this result back into the original expression: 1 - (sin(2x) - (1/2)tan(x)).

3. Now, simplify further: 1 - sin(2x) + (1/2)tan(x).

4. The final expression is: 1 - sin(2x) + (1/2)tan(x).

This is the simplified form of the given expression.