Question

(1-cos^2×a)/sin^2×a​

Answer 1

Ответ:

(1-сos^2 a) /sin^2 a= sin^2 a/sin^2 a=1

Answer 2

To simplify the expression (1 - cos^2(a)) / sin^2(a), we can use the trigonometric identity:

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

Replacing this in the expression, we have:

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

Now, using the identity sin^2(a) / sin^2(a) = 1 (for sin(a) ≠ 0), we get:

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

So, the simplified form of the expression (1 - cos^2(a)) / sin^2(a) is 1.