Question

Sina/1-cosa - sina/cosa+1

Answer 1

Ответ:

Объяснение:

$\frac{sina}{1-cosa}-\frac{sina}{1+cosa}=\frac{sina(1+cosa)-sina(1-cosa)}{(1-cosa)(1+cosa)}=\frac{sina+sina*cosa-sina+sina*cosa}{1-cos^2a}=\\=\frac{2sina*cosa}{sin^2a}=\frac{2cosa}{sina}=2tga$

Answer 2

To simplify the expression, let's first find a common denominator for both terms in the expression. The common denominator for the two terms is "cosa(cosa + 1)."

Now, we can rewrite the expression with the common denominator:

(Sina * (cosa + 1) - sina * cosa) / (cosa * (cosa + 1))

Next, we'll simplify the numerator:

(Sina * cosa + Sina - sina * cosa) / (cosa * (cosa + 1))

Now, we can combine like terms in the numerator:

(Sina * cosa - sina * cosa + Sina) / (cosa * (cosa + 1))

The first two terms in the numerator cancel each other out:

Sina / (cosa * (cosa + 1))

So, the simplified expression is:

Sina / (cosa * (cosa + 1))