Question

Пожалуйста помогите !
-cos a•tg a+sin a+tg a=?
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Answer 1

Ответ:

тут

Объяснение:

We can simplify the expression using trigonometric identities.

First, we can rewrite tangent as sine over cosine:

cos a * tg a + sin a + tg a

= cos a * (sin a / cos a) + sin a + (sin a / cos a)

= sin^2 a / cos a + sin a + sin a / cos a

Next, we can combine the two terms with a common denominator:

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

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

Finally, we can use the identity cos^2 a + sin^2 a = 1 to simplify the numerator:

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

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

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

Therefore,

-cos a * tg a + sin a + tg a

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