Question

Sina - cos2 = 1 - sin2a

Answer 1

Ответ:

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

Answer 2

The equation you've written is:

Sina - cos²a = 1 - sin²a

We can simplify this equation using trigonometric identities. One of the fundamental identities is the Pythagorean identity, which relates sine and cosine:

sin²a + cos²a = 1

Now, let's rewrite your equation using this identity:

sin²a - cos²a = 1 - sin²a

Next, we can move sin²a from the right side to the left side of the equation by adding sin²a to both sides:

sin²a - cos²a + sin²a = 1

Now, simplify the left side by combining like terms:

2sin²a - cos²a = 1

So, the simplified equation is:

2sin²a - cos²a = 1