Question

Спростите виражение : 1) 1-sin2a-cos2a 2) sin2a-cos2a+1 3) sin2a-1 4) cos2a-1

Answer 1

Ответ:

вот

Объяснение:

Answer 2

1) 1 - sin^2a - cos^2a = 1 - (sin^2a + cos^2a) [rearranging terms] = 1 - 1 [using the trigonometric identity sin^2a + cos^2a = 1] = 0

2) sin^2a - cos^2a + 1 = sin^2a - (1 - sin^2a) + 1 [using the trigonometric identity cos^2a = 1 - sin^2a] = sin^2a - 1 + sin^2a + 1 = 2sin^2a = sin^2a

3) sin^2a - 1 This is already in its simplest form.

4) cos^2a - 1 = cos^2a - (1 + sin^2a) [using the trigonometric identity sin^2a + cos^2a = 1] = cos^2a - 1 - sin^2a - 1 = -sin^2a - 1 This cannot be simplified further.

So, the simplified expressions are: 1) 0 2) sin^2a 3) sin^2a - 1 4) cos^2a - 1