Question

1-(cos2a-sin2a) =? пж​

Answer 1

Отметьте пожалуйста лучшим решением и поставьте сердечко

Answer 2

Let's simplify the expression 1 - (cos(2a) - sin(2a)) step by step:

1. Distribute the negative sign inside the parentheses:

   1 - cos(2a) + sin(2a)

2. Combine like terms by grouping the constants (1) and (-cos(2a)) together:

   (1 - cos(2a)) + sin(2a)

3. Now, let's apply a trigonometric identity to simplify (1 - cos(2a)):

   1 - cos(2a) = 2sin^2(a)

4. Substitute this identity back into the expression:

   2sin^2(a) + sin(2a)

5. Now, you can use a trigonometric identity for sin(2a):

   sin(2a) = 2sin(a)cos(a)

6. Substitute this identity into the expression:

   2sin^2(a) + 2sin(a)cos(a)

7. Factor out a 2sin(a):

   2sin(a)(sin(a) + cos(a))

So, the simplified expression is:

2sin(a)(sin(a) + cos(a))

This is the final simplified form of the expression 1 - (cos(2a) - sin(2a)).