Question

Cos² a / 1- sin a........​

Answer 1

Ответ:

$\frac{cosx^{2} }{1-sinx} = \frac{1-sinx^{2}}{1-sinx} = \\ \frac{(1-sinx)(1+sinx)}{1-sinx} = 1+sinx$

Пошаговое объяснение:

Answer 2

To simplify the expression cos²a / (1 - sin a), we can use a trigonometric identity to rewrite it in terms of a single trigonometric function.

Starting with the numerator, we know that cos²a can be expressed as (1 - sin²a) using the Pythagorean identity for cosine. Substituting this value in the expression, we get:

(1 - sin²a) / (1 - sin a)

Now, we can factor out the common term (1 - sin a) from the numerator and denominator:

[(1 - sin a)(1 + sin a)] / (1 - sin a)

Canceling out the common term of (1 - sin a), we are left with:

1 + sin a

Therefore, the simplified expression is 1 + sin a.